253132077515625 has 1701 divisors, whose sum is σ = 638759628518193. Its totient is φ = 96224436000000.

The previous prime is 253132077515593. The next prime is 253132077515633. The reversal of 253132077515625 is 526515770231352.

The square root of 253132077515625 is 15910125.

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

253132077515625 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 3 + 2 + 0 + 7 + 7 + 5 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 214508040164649 + 38624037350976 = 14646093^2 + 6214824^2 .

It is not a de Polignac number, because 253132077515625 - 2⁵ = 253132077515593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 1700 ways as a sum of consecutive naturals, for example, 8728692328111 + ... + 8728692328139.

Almost surely, 2^{253132077515625} is an apocalyptic number.

253132077515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253132077515625 is the 15910125-th square number.

253132077515625 is the 7955063-rd centered octagonal number.

It is an amenable number.

253132077515625 is an abundant number, since it is smaller than the sum of its proper divisors (385627551002568).

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

253132077515625 is an equidigital number, since it uses as much as digits as its factorization.

253132077515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 253132077515625 in words is "two hundred fifty-three trillion, one hundred thirty-two billion, seventy-seven million, five hundred fifteen thousand, six hundred twenty-five".