25990674591025 has 45 divisors (see below), whose sum is σ = 33334134175265. Its totient is φ = 20102847636000.

The previous prime is 25990674591017. The next prime is 25990674591043. The reversal of 25990674591025 is 52019547609952.

The square root of 25990674591025 is 5098105.

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 9797634289 + 25980876956736 = 98983^2 + 5097144^2 .

It is not a de Polignac number, because 25990674591025 - 2³ = 25990674591017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24496393995 + ... + 24496395055.

Almost surely, 2^{25990674591025} is an apocalyptic number.

25990674591025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25990674591025 is the 5098105-th square number.

25990674591025 is the 2549053-rd centered octagonal number.

It is an amenable number.

25990674591025 is a deficient number, since it is larger than the sum of its proper divisors (7343459584240).

25990674591025 is an frugal number, since it uses more digits than its factorization.

25990674591025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 64.

The spelling of 25990674591025 in words is "twenty-five trillion, nine hundred ninety billion, six hundred seventy-four million, five hundred ninety-one thousand, twenty-five".