252433578100 has 72 divisors (see below), whose sum is σ = 608854343328. Its totient is φ = 90062044800.

The previous prime is 252433578097. The next prime is 252433578101. The reversal of 252433578100 is 1875334252.

252433578100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252433578100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252433578101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2106654 + ... + 2223253.

It is an arithmetic number, because the mean of its divisors is an integer number (8456310324).

Almost surely, 2^252433578100 is an apocalyptic number.

252433578100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252433578100 is an abundant number, since it is smaller than the sum of its proper divisors (356420765228).

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

252433578100 is a wasteful number, since it uses less digits than its factorization.

252433578100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329985 (or 4329978 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 252433578100 in words is "two hundred fifty-two billion, four hundred thirty-three million, five hundred seventy-eight thousand, one hundred".