252523524960 has 576 divisors, whose sum is σ = 1070141829120. Its totient is φ = 52916613120.

The previous prime is 252523524959. The next prime is 252523524971. The reversal of 252523524960 is 69425325252.

252523524960 is a `hidden beast` number, since 2 + 5 + 252 + 352 + 49 + 6 + 0 = 666.

252523524960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 95 ways as a sum of consecutive naturals, for example, 5915854 + ... + 5958386.

It is an arithmetic number, because the mean of its divisors is an integer number (1857885120).

Almost surely, 2^252523524960 is an apocalyptic number.

252523524960 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 252523524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535070914560).

252523524960 is an abundant number, since it is smaller than the sum of its proper divisors (817618304160).

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

252523524960 is a wasteful number, since it uses less digits than its factorization.

252523524960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42611 (or 42600 counting only the distinct ones).

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

The spelling of 252523524960 in words is "two hundred fifty-two billion, five hundred twenty-three million, five hundred twenty-four thousand, nine hundred sixty".