252969025 has 9 divisors (see below), whose sum is σ = 313780233. Its totient is φ = 202311600.

The previous prime is 252969023. The next prime is 252969029. The reversal of 252969025 is 520969252.

The square root of 252969025 is 15905.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92794689 + 160174336 = 9633^2 + 12656^2 .

It is not a de Polignac number, because 252969025 - 2¹ = 252969023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252969023) 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, 77935 + ... + 81115.

Almost surely, 2^252969025 is an apocalyptic number.

252969025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

252969025 is the 15905-th square number.

252969025 is the 7953-rd centered octagonal number.

It is an amenable number.

252969025 is a deficient number, since it is larger than the sum of its proper divisors (60811208).

252969025 is an frugal number, since it uses more digits than its factorization.

252969025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The cubic root of 252969025 is about 632.4445419981. Note that the first 3 decimals are identical.

The spelling of 252969025 in words is "two hundred fifty-two million, nine hundred sixty-nine thousand, twenty-five".