25765065225 has 189 divisors, whose sum is σ = 50849336239. Its totient is φ = 12943929600.

The previous prime is 25765065211. The next prime is 25765065257. The reversal of 25765065225 is 52256056752.

The square root of 25765065225 is 160515.

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

25765065225 is a `hidden beast` number, since 2 + 5 + 76 + 50 + 6 + 522 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 25488441801 + 276623424 = 159651^2 + 16632^2 .

It is not a de Polignac number, because 25765065225 - 2²⁵ = 25731510793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 628416205 + ... + 628416245.

Almost surely, 2^25765065225 is an apocalyptic number.

25765065225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25765065225 is the 160515-th square number.

25765065225 is the 80258-th centered octagonal number.

It is an amenable number.

25765065225 is a deficient number, since it is larger than the sum of its proper divisors (25084271014).

25765065225 is an frugal number, since it uses more digits than its factorization.

25765065225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 25765065225 in words is "twenty-five billion, seven hundred sixty-five million, sixty-five thousand, two hundred twenty-five".