252405521100 has 108 divisors (see below), whose sum is σ = 795167637264. Its totient is φ = 66966426240.

The previous prime is 252405521089. The next prime is 252405521107. The reversal of 252405521100 is 1125504252.

252405521100 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 0 + 552 + 1 + 100 = 666.

It is not an unprimeable number, because it can be changed into a prime (252405521107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534504 + ... + 889103.

It is an arithmetic number, because the mean of its divisors is an integer number (7362663308).

Almost surely, 2^252405521100 is an apocalyptic number.

252405521100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252405521100 is an abundant number, since it is smaller than the sum of its proper divisors (542762116164).

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

252405521100 is a wasteful number, since it uses less digits than its factorization.

252405521100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423824 (or 1423814 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 252405521100 in words is "two hundred fifty-two billion, four hundred five million, five hundred twenty-one thousand, one hundred".