252853094025 has 81 divisors (see below), whose sum is σ = 526938912981. Its totient is φ = 115565849280.

The previous prime is 252853094023. The next prime is 252853094027. The reversal of 252853094025 is 520490358252.

The square root of 252853094025 is 502845.

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

252853094025 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 530 + 94 + 0 + 25 = 666.

252853094025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252853094023) and next prime (252853094027).

It can be written as a sum of positive squares in 4 ways, for example, as 95256797769 + 157596296256 = 308637^2 + 396984^2 .

It is not a de Polignac number, because 252853094025 - 2¹ = 252853094023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252853094023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52796331 + ... + 52801119.

Almost surely, 2^252853094025 is an apocalyptic number.

252853094025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

252853094025 is the 502845-th square number.

252853094025 is the 251423-rd centered octagonal number.

It is an amenable number.

252853094025 is an abundant number, since it is smaller than the sum of its proper divisors (274085818956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252853094025 is an frugal number, since it uses more digits than its factorization.

252853094025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 252853094025 in words is "two hundred fifty-two billion, eight hundred fifty-three million, ninety-four thousand, twenty-five".