252523881 has 9 divisors (see below), whose sum is σ = 364825591. Its totient is φ = 168317472.

The previous prime is 252523841. The next prime is 252523919. The reversal of 252523881 is 188325252.

The square root of 252523881 is 15891.

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

252523881 is a `hidden beast` number, since 2 + 52 + 523 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 206066025 + 46457856 = 14355^2 + 6816^2 .

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

It is not a de Polignac number, because 252523881 - 2⁷ = 252523753 is a prime.

It is a super-2 number, since 2×252523881² = 127536620950604322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252523811) 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, 45025 + ... + 50321.

Almost surely, 2^252523881 is an apocalyptic number.

252523881 is the 15891-st square number.

252523881 is the 7946-th centered octagonal number.

It is an amenable number.

252523881 is a deficient number, since it is larger than the sum of its proper divisors (112301710).

252523881 is an frugal number, since it uses more digits than its factorization.

252523881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10600 (or 5300 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The cubic root of 252523881 is about 632.0733579659.

Multiplying 252523881 by its sum of digits (36), we get a square (9090859716 = 95346²).

The spelling of 252523881 in words is "two hundred fifty-two million, five hundred twenty-three thousand, eight hundred eighty-one".