25633611025 has 81 divisors (see below), whose sum is σ = 36322388977. Its totient is φ = 17931760000.

The previous prime is 25633611023. The next prime is 25633611043. The reversal of 25633611025 is 52011633652.

The square root of 25633611025 is 160105.

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 10789600129 + 14844010896 = 103873^2 + 121836^2 .

It is not a de Polignac number, because 25633611025 - 2¹ = 25633611023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25633611023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 361036740 + ... + 361036810.

Almost surely, 2^25633611025 is an apocalyptic number.

25633611025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25633611025 is the 160105-th square number.

25633611025 is the 80053-rd centered octagonal number.

It is an amenable number.

25633611025 is a deficient number, since it is larger than the sum of its proper divisors (10688777952).

25633611025 is an equidigital number, since it uses as much as digits as its factorization.

25633611025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Multiplying 25633611025 by its product of nonzero digits (32400), we get a square (830528997210000 = 28818900²).

The spelling of 25633611025 in words is "twenty-five billion, six hundred thirty-three million, six hundred eleven thousand, twenty-five".