252913138695 has 256 divisors, whose sum is σ = 547136962560. Its totient is φ = 108391219200.

The previous prime is 252913138669. The next prime is 252913138727. The reversal of 252913138695 is 596831319252.

252913138695 is a `hidden beast` number, since 2 + 529 + 1 + 31 + 3 + 86 + 9 + 5 = 666.

252913138695 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252913138695 - 2¹⁴ = 252913122311 is a prime.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 382621665 + ... + 382622325.

It is an arithmetic number, because the mean of its divisors is an integer number (2137253760).

Almost surely, 2^252913138695 is an apocalyptic number.

252913138695 is an abundant number, since it is smaller than the sum of its proper divisors (294223823865).

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

252913138695 is a wasteful number, since it uses less digits than its factorization.

252913138695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 252913138695 in words is "two hundred fifty-two billion, nine hundred thirteen million, one hundred thirty-eight thousand, six hundred ninety-five".