These abilities have been pulled off the internet I do not take credit for any of these I do not own the Hellsing series nor do I own the teen wolf series
Immortality: This ability is rather ambiguous, as Alucard, himself has stated that immortality is a myth. However, what it most likely refers to is the human souls inside Alucard; it has been speculated that, when damaged by blow that would have killed or incapacitated him such as exceedingly holy weapons, the damage is instead directed to his reservoir of souls. Because this ability does not really grant him true immortality, it can be considered as pseudo-immortality. However, after "Monster of God" Anderson destroyed the rest of Level 0, Alucard was still able to regenerate on par with him. (This was on par with Alucard before releasing Level 0). However, the "soul count" theory is just a fan theory, and has never been definitively proven. It was also speculated by Anderson that this was the reason for him not being able to kill Alucard. Alucard may have kept at least a few souls in his body to use for regeneration after releasing level 0.
Advanced Regeneration: Alucard's ability to regenerate is considerably greater than any other vampire's. He has regenerated from a pool of blood and from being decapitated, blown to shreds by gunfire, incinerated completely, etc. When damaged to an extreme extent, his body simply turns into a shadow-like substance and reconstitutes. Exceedingly holy weapons have been shown to incapacitate him for a time, but even Anderson, augmented with Helena's Nail, could do no lasting harm to him. While regenerating against Anderson, he became a shadow entity at one point.
Superhuman Accuracy: Alucard has been known to hit targets at great range using handguns while looking the other way. He does this by using his so-called 'third eye'.
Superhuman Strength: The extent is unknown, but Alucard can physically rip humans and vampires apart with ease. He can slice through Tubalcain's cards (which are sharp and strong enough to easily cut through a uranium shell moving at high speed, without the slightest damage done to the cards themselves). With just his bare hand, he was able to stab through Alexander Anderson, infused with the Nail of Helena, in the heart and kill him while the Casull did not have noticable impact on a human Anderson.
Superhuman Speed: He can move faster than the eye can see, such as when he seemingly appeared to be a glint of light like artificial vampires have shown in his fight with Tubalcain. He's fast enough to keep up with a vampirized Walter Dornez, who was shown to be able to outpace bullets from machine guns when he was human.
Superhuman Reflexes: He has demonstrated the ability to catch bullets (both Rip Van Winkle's and ordinary ones). He easily caught Rip Van Winkle's magic bullet with his teeth (the same bullet which punctured a SR-71 moving down at Mach 3.2 speed several times in rapid succession and intercepted multiple missiles).
Intangibility: The ability to pass through solid objects.
Superhuman Agility: The ability to defy gravity to an uncertain limit. He is also seen leaping impossible distances and can walk up vertical surfaces.
Shadow Manipulation: Manipulation of shadows into physical form, which he can then use however he wishes.
Shape-Shifting: Alucard can transform himself or parts of himself into bats, insects, snakes, hellhounds, other human forms including a little girl, an amorphous mass of darkness, and many other forms. Alucard has four known human forms, each with different characteristics and weapons. He also states that his form means nothing and that he can take any form that he chooses.
Weather Control: The ability to control the weather to an unknown limit, as demonstrated by the fog created when he returned to London aboard the H.M.S Eagle.
Illusions: The ability to cast illusions, such as when he tricked Walter into seeing Luke Valentine as himself.
Teleportation: The ability to disappear and reappear somewhere else. He also has the ability to levitate.
Telekinesis: In the manga, Alucard uses telekinesis to close a door on a fleeing SWAT officer. He also launched six SWAT officers into the air and guided them to flag poles where they were impaled. Alucard is later seen moving a broken down air-craft carrier from the Gulf of Italy to the Dover of London all in a little less than 40 minutes.
Telepathy: Alucard can speak telepathically to his fledgling, Seras Victoria.
Mind Reading: The ability to read the thoughts of another beings mind.
Mind Control and Hypnosis: (fans sometimes call it the "Love Beam" after a remark from Pip).
Precognition: As a standard for a vampire, he has precognition, the ability to see into the immediate future, which allows him to predict the movements of the humans he's fighting. According to Pip, a vampire can easily dodge a bullet with their ability to predict human movements.
Summoning: The ability to summon familiars, the souls of those whose blood he has sucked in a variety of forms that either sprout from his body or swarm around him as an army numbering in the millions. These familiars can also include animals such as horses and the weapons and abilities that the familiars possessed in life, but Alucard can only use this ability when Control Art Restriction System Level Zero is released. The familiars can come in two ways, one is similar to a ghoul, mindless and constantly moaning in pain, while the other is the soul manifesting exactly how it was when it was alive, personality, powers, and all. It's unknown if vampires have control of how they want their familiars to manifest, or if the soul loses its personality traits (although the former seems more likely).
Bloodsucking: The ability to suck a person's blood and absorb their soul and, consequently, their knowledge and memories. (He learns more about Millennium after absorbing Tubalcain). He can also absorb blood through his clothes and skin, as he does with Luke Valentine's blood after his hell hound had eaten Luke's body. Alucard can draw in blood over vast distances (at least throughout the city of London).
Hibernation: Alucard is able to survive long periods of time without consuming blood, but is able to fight at a usual level of strength after drinking even the smallest bit of blood.
Immunity to Vampiric Weaknesses: His abilities and health are not in any way compromised by such things as sunlight or silver. In fact, it appears that the only weapons capable of harming him to any real extent are the most holy of Christian artifacts, such as Father Anderson after augmenting his abilities with Helena's Nail (a nail, which was from the True Cross, which crucified Jesus Christ, and was blessed by his blood) but even that did no permanent, or even lasting, damage.
Supernatural Sense: The ability to sense supernatural activity (In The Dawn, a prequel to Hellsing, Alucard knew the Captain was a werewolf the moment he saw him, and in the OVA, he could see the blessings on Father Anderson's bayonets as well as the holy barrier preventing their escape).
Combat Experience: In addition to his superhuman abilities, Alucard also possesses centuries of combat experience. While he usually relies on crushing his opponents with sheer power, he does at times use strategy. When he fought Alhambra, Alucard used shadow duplicates to distract him, allowing Alucard to close the distance between them and deliver the death blow.
Omnipresence
(There will be added abilities in the future)