252552557400 has 192 divisors, whose sum is σ = 919786129920. Its totient is φ = 56515238400.

The previous prime is 252552557381. The next prime is 252552557437. The reversal of 252552557400 is 4755255252.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385952 + ... + 1557551.

It is an arithmetic number, because the mean of its divisors is an integer number (4790552760).

Almost surely, 2^252552557400 is an apocalyptic number.

252552557400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252552557400 is an abundant number, since it is smaller than the sum of its proper divisors (667233572520).

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

252552557400 is a wasteful number, since it uses less digits than its factorization.

252552557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943546 (or 2943537 counting only the distinct ones).

The product of its (nonzero) digits is 700000, while the sum is 42.

The spelling of 252552557400 in words is "two hundred fifty-two billion, five hundred fifty-two million, five hundred fifty-seven thousand, four hundred".