25117086773025 has 225 divisors, whose sum is σ = 50479118063231. Its totient is φ = 12346571240640.

The previous prime is 25117086773003. The next prime is 25117086773039. The reversal of 25117086773025 is 52037768071152.

The square root of 25117086773025 is 5011695.

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

25117086773025 is a `hidden beast` number, since 2 + 511 + 7 + 0 + 8 + 6 + 77 + 30 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 24643748277009 + 473338496016 = 4964247^2 + 687996^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a de Polignac number, because none of the positive numbers 2^k-25117086773025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 38113940146 + ... + 38113940804.

Almost surely, 2^{25117086773025} is an apocalyptic number.

25117086773025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25117086773025 is the 5011695-th square number.

25117086773025 is the 2505848-th centered octagonal number.

It is an amenable number.

25117086773025 is an abundant number, since it is smaller than the sum of its proper divisors (25362031290206).

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

25117086773025 is an frugal number, since it uses more digits than its factorization.

25117086773025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 25117086773025 in words is "twenty-five trillion, one hundred seventeen billion, eighty-six million, seven hundred seventy-three thousand, twenty-five".