253605625 has 75 divisors (see below), whose sum is σ = 400327323. Its totient is φ = 160524000.

The previous prime is 253605617. The next prime is 253605629. The reversal of 253605625 is 526506352.

The square root of 253605625 is 15925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 250493929 + 3111696 = 15827^2 + 1764^2 .

It is not a de Polignac number, because 253605625 - 2³ = 253605617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253605629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 19508119 + ... + 19508131.

Almost surely, 2^253605625 is an apocalyptic number.

253605625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253605625 is the 15925-th square number.

253605625 is the 7963-rd centered octagonal number.

It is an amenable number.

253605625 is a deficient number, since it is larger than the sum of its proper divisors (146721698).

253605625 is an frugal number, since it uses more digits than its factorization.

253605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The cubic root of 253605625 is about 632.9746160375.

The spelling of 253605625 in words is "two hundred fifty-three million, six hundred five thousand, six hundred twenty-five".