252631415808 has 154 divisors (see below), whose sum is σ = 757180043304. Its totient is φ = 84210223104.

The previous prime is 252631415801. The next prime is 252631415831. The reversal of 252631415808 is 808514136252.

252631415808 is a `hidden beast` number, since 2 + 5 + 2 + 63 + 1 + 4 + 1 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252631415801) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 577285 + ... + 915707.

Almost surely, 2^252631415808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252631415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378590021652).

252631415808 is an abundant number, since it is smaller than the sum of its proper divisors (504548627496).

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

252631415808 is an frugal number, since it uses more digits than its factorization.

252631415808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338461 (or 338428 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 252631415808 in words is "two hundred fifty-two billion, six hundred thirty-one million, four hundred fifteen thousand, eight hundred eight".