252529643520 has 1248 divisors, whose sum is σ = 1133456163840. Its totient is φ = 52394065920.

The previous prime is 252529643459. The next prime is 252529643633. The reversal of 252529643520 is 25346925252.

252529643520 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 296 + 4 + 352 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383200951 + ... + 383201609.

It is an arithmetic number, because the mean of its divisors is an integer number (908218080).

Almost surely, 2^252529643520 is an apocalyptic number.

252529643520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252529643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566728081920).

252529643520 is an abundant number, since it is smaller than the sum of its proper divisors (880926520320).

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

252529643520 is an equidigital number, since it uses as much as digits as its factorization.

252529643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 252529643520 in words is "two hundred fifty-two billion, five hundred twenty-nine million, six hundred forty-three thousand, five hundred twenty".