25793966025 has 135 divisors (see below), whose sum is σ = 49512783639. Its totient is φ = 13274966880.

The previous prime is 25793965999. The next prime is 25793966063. The reversal of 25793966025 is 52066939752.

The square root of 25793966025 is 160605.

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

25793966025 is a `hidden beast` number, since 2 + 579 + 3 + 9 + 6 + 60 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9285827769 + 16508138256 = 96363^2 + 128484^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 25793966025 - 2⁵ = 25793965993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 310770634 + ... + 310770716.

Almost surely, 2^25793966025 is an apocalyptic number.

25793966025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25793966025 is the 160605-th square number.

25793966025 is the 80303-rd centered octagonal number.

It is an amenable number.

25793966025 is a deficient number, since it is larger than the sum of its proper divisors (23718817614).

25793966025 is an frugal number, since it uses more digits than its factorization.

25793966025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 25793966025 in words is "twenty-five billion, seven hundred ninety-three million, nine hundred sixty-six thousand, twenty-five".