253809402025 has 27 divisors (see below), whose sum is σ = 334382240869. Its totient is φ = 191071306880.

The previous prime is 253809401983. The next prime is 253809402031. The reversal of 253809402025 is 520204908352.

The square root of 253809402025 is 503795.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5936856601 + 247872545424 = 77051^2 + 497868^2 .

It is a de Polignac number, because none of the positive numbers 2^k-253809402025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42819612 + ... + 42825538.

Almost surely, 2^253809402025 is an apocalyptic number.

253809402025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253809402025 is the 503795-th square number.

253809402025 is the 251898-th centered octagonal number.

It is an amenable number.

253809402025 is a deficient number, since it is larger than the sum of its proper divisors (80572838844).

253809402025 is an frugal number, since it uses more digits than its factorization.

253809402025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11898 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 253809402025 in words is "two hundred fifty-three billion, eight hundred nine million, four hundred two thousand, twenty-five".