255757775625 has 135 divisors (see below), whose sum is σ = 508248407667. Its totient is φ = 123801480000.

The previous prime is 255757775597. The next prime is 255757775653. The reversal of 255757775625 is 526577757552.

It is a happy number.

The square root of 255757775625 is 505725.

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

255757775625 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 577 + 7 + 56 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (255757775597) and next prime (255757775653).

It can be written as a sum of positive squares in 7 ways, for example, as 242840998521 + 12916777104 = 492789^2 + 113652^2 .

It is not a de Polignac number, because 255757775625 - 2²⁹ = 255220904713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 417222819 + ... + 417223431.

Almost surely, 2^255757775625 is an apocalyptic number.

255757775625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255757775625 is the 505725-th square number.

255757775625 is the 252863-rd centered octagonal number.

It is an amenable number.

255757775625 is a deficient number, since it is larger than the sum of its proper divisors (252490632042).

255757775625 is an frugal number, since it uses more digits than its factorization.

255757775625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 632 counting only the distinct ones).

The product of its digits is 180075000, while the sum is 63.

The spelling of 255757775625 in words is "two hundred fifty-five billion, seven hundred fifty-seven million, seven hundred seventy-five thousand, six hundred twenty-five".