252651025 has 45 divisors (see below), whose sum is σ = 365879143. Its totient is φ = 172937600.

The previous prime is 252650977. The next prime is 252651041. The reversal of 252651025 is 520156252.

The square root of 252651025 is 15895.

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

It can be written as a sum of positive squares in 7 ways, for example, as 27531009 + 225120016 = 5247^2 + 15004^2 .

It is a de Polignac number, because none of the positive numbers 2^k-252651025 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252650984 and 252651002.

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 44 ways as a sum of consecutive naturals, for example, 14861817 + ... + 14861833.

Almost surely, 2^252651025 is an apocalyptic number.

252651025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

252651025 is the 15895-th square number.

252651025 is the 7948-th centered octagonal number.

It is an amenable number.

252651025 is a deficient number, since it is larger than the sum of its proper divisors (113228118).

252651025 is an frugal number, since it uses more digits than its factorization.

252651025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The cubic root of 252651025 is about 632.1794216655.

The spelling of 252651025 in words is "two hundred fifty-two million, six hundred fifty-one thousand, twenty-five".