252244013121 has 9 divisors (see below), whose sum is σ = 364354639779. Its totient is φ = 168161670936.

The previous prime is 252244013113. The next prime is 252244013143. The reversal of 252244013121 is 121310442252.

The square root of 252244013121 is 502239.

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

252244013121 is a `hidden beast` number, since 2 + 5 + 224 + 401 + 31 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241724639025 + 10519374096 = 491655^2 + 102564^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 252244013121 - 2³ = 252244013113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252244013101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1423011 + ... + 1590423.

Almost surely, 2^252244013121 is an apocalyptic number.

252244013121 is the 502239-th square number.

252244013121 is the 251120-th centered octagonal number.

It is an amenable number.

252244013121 is a deficient number, since it is larger than the sum of its proper divisors (112110626658).

252244013121 is an frugal number, since it uses more digits than its factorization.

252244013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334832 (or 167416 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 252244013121 its reverse (121310442252), we get a palindrome (373554455373).

The spelling of 252244013121 in words is "two hundred fifty-two billion, two hundred forty-four million, thirteen thousand, one hundred twenty-one".