252556550532 has 384 divisors, whose sum is σ = 811925452800. Its totient is φ = 66746073600.

The previous prime is 252556550503. The next prime is 252556550549. The reversal of 252556550532 is 235055655252.

252556550532 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 5 + 65 + 50 + 532 = 666.

It is a super-2 number, since 2×252556550532² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135273063 + ... + 135274929.

It is an arithmetic number, because the mean of its divisors is an integer number (2114389200).

Almost surely, 2^252556550532 is an apocalyptic number.

252556550532 is a gapful number since it is divisible by the number (22) 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 252556550532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405962726400).

252556550532 is an abundant number, since it is smaller than the sum of its proper divisors (559368902268).

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

252556550532 is a wasteful number, since it uses less digits than its factorization.

252556550532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 2250000, while the sum is 45.

The spelling of 252556550532 in words is "two hundred fifty-two billion, five hundred fifty-six million, five hundred fifty thousand, five hundred thirty-two".