252251195625 has 720 divisors, whose sum is σ = 602197485120. Its totient is φ = 103783680000.

The previous prime is 252251195621. The next prime is 252251195627. The reversal of 252251195625 is 526591152252.

252251195625 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 5 + 1 + 19 + 5 + 625 = 666.

It is not a de Polignac number, because 252251195625 - 2² = 252251195621 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 (252251195621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 5866306854 + ... + 5866306896.

It is an arithmetic number, because the mean of its divisors is an integer number (836385396).

Almost surely, 2^252251195625 is an apocalyptic number.

252251195625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252251195625 is an abundant number, since it is smaller than the sum of its proper divisors (349946289495).

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

252251195625 is a wasteful number, since it uses less digits than its factorization.

252251195625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 252251195625 in words is "two hundred fifty-two billion, two hundred fifty-one million, one hundred ninety-five thousand, six hundred twenty-five".