252129515625 has 189 divisors, whose sum is σ = 497771499537. Its totient is φ = 122920200000.

The previous prime is 252129515623. The next prime is 252129515663. The reversal of 252129515625 is 526515921252.

The square root of 252129515625 is 502125.

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

252129515625 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 2 + 9 + 5 + 15 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 118278902889 + 133850612736 = 343917^2 + 365856^2 .

It is not a de Polignac number, because 252129515625 - 2¹ = 252129515623 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252129515623) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2447859324 + ... + 2447859426.

Almost surely, 2^252129515625 is an apocalyptic number.

252129515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

252129515625 is the 502125-th square number.

252129515625 is the 251063-rd centered octagonal number.

It is an amenable number.

252129515625 is a deficient number, since it is larger than the sum of its proper divisors (245641983912).

252129515625 is an frugal number, since it uses more digits than its factorization.

252129515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 124 counting only the distinct ones).

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

The spelling of 252129515625 in words is "two hundred fifty-two billion, one hundred twenty-nine million, five hundred fifteen thousand, six hundred twenty-five".