252502230016 has 99 divisors (see below), whose sum is σ = 518723676613. Its totient is φ = 122850222080.

The previous prime is 252502229939. The next prime is 252502230041. The reversal of 252502230016 is 610032205252.

The square root of 252502230016 is 502496.

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

It can be written as a sum of positive squares in only one way, i.e., 12166972416 + 240335257600 = 110304^2 + 490240^2 .

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, 659274561 + ... + 659274943.

Almost surely, 2^252502230016 is an apocalyptic number.

252502230016 is the 502496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252502230016

252502230016 is an abundant number, since it is smaller than the sum of its proper divisors (266221446597).

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

252502230016 is an frugal number, since it uses more digits than its factorization.

With its predecessor (252502230015) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (868).

252502230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 252502230016 its reverse (610032205252), we get a palindrome (862534435268).

The spelling of 252502230016 in words is "two hundred fifty-two billion, five hundred two million, two hundred thirty thousand, sixteen".