252774958401 has 72 divisors (see below), whose sum is σ = 440758990464. Its totient is φ = 136728207360.

The previous prime is 252774958379. The next prime is 252774958483. The reversal of 252774958401 is 104859477252.

252774958401 is a `hidden beast` number, since 2 + 5 + 2 + 77 + 495 + 84 + 0 + 1 = 666.

It is not a de Polignac number, because 252774958401 - 2⁹ = 252774957889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252774958301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32905281 + ... + 32912961.

Almost surely, 2^252774958401 is an apocalyptic number.

252774958401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252774958401 is a deficient number, since it is larger than the sum of its proper divisors (187984032063).

252774958401 is a wasteful number, since it uses less digits than its factorization.

252774958401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 252774958401 in words is "two hundred fifty-two billion, seven hundred seventy-four million, nine hundred fifty-eight thousand, four hundred one".