10255266255201 has 16 divisors (see below), whose sum is σ = 15431121639360. Its totient is φ = 6000991747520.

The previous prime is 10255266255197. The next prime is 10255266255293.

It is a happy number.

10255266255201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10255266255201 - 2² = 10255266255197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10255266255301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5358027390 + ... + 5358029303.

It is an arithmetic number, because the mean of its divisors is an integer number (964445102460).

Almost surely, 2^{10255266255201} is an apocalyptic number.

10255266255201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10255266255201 is a deficient number, since it is larger than the sum of its proper divisors (5175855384159).

10255266255201 is a wasteful number, since it uses less digits than its factorization.

10255266255201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716056736.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 10255266255201 in words is "ten trillion, two hundred fifty-five billion, two hundred sixty-six million, two hundred fifty-five thousand, two hundred one".