253180446606025 has 27 divisors (see below), whose sum is σ = 331338737789703. Its totient is φ = 191882982315600.

The previous prime is 253180446606023. The next prime is 253180446606077. The reversal of 253180446606025 is 520606644081352.

The square root of 253180446606025 is 15911645.

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

It can be written as a sum of positive squares in only one way, i.e., 91144960778169 + 162035485827856 = 9546987^2 + 12729316^2 .

It is not a de Polignac number, because 253180446606025 - 2¹ = 253180446606023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253180446606023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1511522530 + ... + 1511690020.

Almost surely, 2^{253180446606025} is an apocalyptic number.

253180446606025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253180446606025 is the 15911645-th square number.

253180446606025 is the 7955823-rd centered octagonal number.

It is an amenable number.

253180446606025 is a deficient number, since it is larger than the sum of its proper divisors (78158291183678).

253180446606025 is an frugal number, since it uses more digits than its factorization.

253180446606025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335030 (or 167515 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 253180446606025 in words is "two hundred fifty-three trillion, one hundred eighty billion, four hundred forty-six million, six hundred six thousand, twenty-five".