252134536900 has 81 divisors (see below), whose sum is σ = 552467972469. Its totient is φ = 99879682560.

The previous prime is 252134536897. The next prime is 252134536961. The reversal of 252134536900 is 9635431252.

The square root of 252134536900 is 502130.

It is a perfect power (a square), and thus also a powerful number.

252134536900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 251877511876 + 257025024 = 501874^2 + 16032^2 .

It is a super-2 number, since 2×252134536900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 748173532 + ... + 748173868.

Almost surely, 2^252134536900 is an apocalyptic number.

252134536900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252134536900 is the 502130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252134536900

252134536900 is an abundant number, since it is smaller than the sum of its proper divisors (300333435569).

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

252134536900 is an equidigital number, since it uses as much as digits as its factorization.

252134536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 252134536900 in words is "two hundred fifty-two billion, one hundred thirty-four million, five hundred thirty-six thousand, nine hundred".