252162964053 has 448 divisors, whose sum is σ = 534760095744. Its totient is φ = 114633792000.

The previous prime is 252162964021. The next prime is 252162964057. The reversal of 252162964053 is 350469261252.

252162964053 is a `hidden beast` number, since 2 + 5 + 216 + 29 + 6 + 405 + 3 = 666.

It is not a de Polignac number, because 252162964053 - 2⁵ = 252162964021 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252162964057) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1606133451 + ... + 1606133607.

It is an arithmetic number, because the mean of its divisors is an integer number (1193660928).

Almost surely, 2^252162964053 is an apocalyptic number.

It is an amenable number.

252162964053 is an abundant number, since it is smaller than the sum of its proper divisors (282597131691).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252162964053 is a wasteful number, since it uses less digits than its factorization.

252162964053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 252162964053 in words is "two hundred fifty-two billion, one hundred sixty-two million, nine hundred sixty-four thousand, fifty-three".