25588801225 has 81 divisors (see below), whose sum is σ = 36256262133. Its totient is φ = 17905842240.

The previous prime is 25588801219. The next prime is 25588801237. The reversal of 25588801225 is 52210888552.

It is a happy number.

The square root of 25588801225 is 159965.

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 6595551369 + 18993249856 = 81213^2 + 137816^2 .

It is not a de Polignac number, because 25588801225 - 2⁷ = 25588801097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 239147622 + ... + 239147728.

Almost surely, 2^25588801225 is an apocalyptic number.

25588801225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25588801225 is the 159965-th square number.

25588801225 is the 79983-rd centered octagonal number.

It is an amenable number.

25588801225 is a deficient number, since it is larger than the sum of its proper divisors (10667460908).

25588801225 is a wasteful number, since it uses less digits than its factorization.

25588801225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 46.

The spelling of 25588801225 in words is "twenty-five billion, five hundred eighty-eight million, eight hundred one thousand, two hundred twenty-five".