The Doctor is a Time Lord from the planet Gallifrey. Time Lords may look human, but couldn't be more different.
Not only do they have two hearts, they literally experience time differently.
They can see past, present, and future all at once.
They can resist temporal phenomena such as time stops and can tamper with fixed points in time.
They're effectively acausal beings.
This makes them super hard to predict and nearly impossible to erase from any timeline. They can even breach the bounds of space and talk directly to you.
Has hypnotized with a glance, resisted mind control, survived deadly radiation, and even learned transmigration. As in, the ability to summon an object out of thin air.
With regeneration, has regrown lost limbs.
Can become strong enough to knock down a steel doors.
Is tough enough to survive bolts of lightning that vaporized an ordinary human.
Has dodged half a dozen disintegration rays while also improvising several thousand calculations in a matter of nanoseconds.
Is so smart, his brain once powered a 1,000-year-old supercomputer.
Has outwitted cosmic entities like The Great Intelligence, the Time Lord nemesis the Master, and apparently the original Satan, who isn't even the most frightening alien in the multiverse, because that would be the Daleks.