25171409025 has 81 divisors (see below), whose sum is σ = 52480304643. Its totient is φ = 11499314400.

The previous prime is 25171408979. The next prime is 25171409051. The reversal of 25171409025 is 52090417152.

The square root of 25171409025 is 158655.

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

It can be written as a sum of positive squares in only one way, i.e., 9061707249 + 16109701776 = 95193^2 + 126924^2 .

It is not a de Polignac number, because 25171409025 - 2⁷ = 25171408897 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, 16658020 + ... + 16659530.

Almost surely, 2^25171409025 is an apocalyptic number.

25171409025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25171409025 is the 158655-th square number.

25171409025 is the 79328-th centered octagonal number.

It is an amenable number.

25171409025 is an abundant number, since it is smaller than the sum of its proper divisors (27308895618).

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

25171409025 is an equidigital number, since it uses as much as digits as its factorization.

25171409025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 25171409025 by its sum of digits (36), we get a square (906170724900 = 951930²).

The spelling of 25171409025 in words is "twenty-five billion, one hundred seventy-one million, four hundred nine thousand, twenty-five".