252761625 has 24 divisors (see below), whose sum is σ = 455646984. Its totient is φ = 134805600.

The previous prime is 252761603. The next prime is 252761657. The reversal of 252761625 is 526167252.

252761625 is a `hidden beast` number, since 2 + 5 + 27 + 6 + 1 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7901721 + 244859904 = 2811^2 + 15648^2 .

It is not a de Polignac number, because 252761625 - 2²⁵ = 219207193 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 252761625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111214 + ... + 113463.

It is an arithmetic number, because the mean of its divisors is an integer number (18985291).

Almost surely, 2^252761625 is an apocalyptic number.

252761625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252761625 is a deficient number, since it is larger than the sum of its proper divisors (202885359).

252761625 is a wasteful number, since it uses less digits than its factorization.

252761625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224698 (or 224685 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 252761625 is about 15898.4787008066. The cubic root of 252761625 is about 632.2716554017.

The spelling of 252761625 in words is "two hundred fifty-two million, seven hundred sixty-one thousand, six hundred twenty-five".