252052194304 has 99 divisors (see below), whose sum is σ = 522798135951. Its totient is φ = 121455452160.

The previous prime is 252052194299. The next prime is 252052194319. The reversal of 252052194304 is 403491250252.

The square root of 252052194304 is 502048.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1571963904 + 250480230400 = 39648^2 + 500480^2 .

It is a super-2 number, since 2×252052194304² (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 8 ways as a sum of consecutive naturals, for example, 465900274 + ... + 465900814.

Almost surely, 2^252052194304 is an apocalyptic number.

252052194304 is the 502048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252052194304

252052194304 is an abundant number, since it is smaller than the sum of its proper divisors (270745941647).

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

252052194304 is an frugal number, since it uses more digits than its factorization.

252052194304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 252052194304 in words is "two hundred fifty-two billion, fifty-two million, one hundred ninety-four thousand, three hundred four".