25371711225 has 243 divisors, whose sum is σ = 55687699431. Its totient is φ = 11009779200.

The previous prime is 25371711193. The next prime is 25371711241. The reversal of 25371711225 is 52211717352.

The square root of 25371711225 is 159285.

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

25371711225 is a `hidden beast` number, since 2 + 537 + 1 + 7 + 112 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18787362489 + 6584348736 = 137067^2 + 81144^2 .

It is not a de Polignac number, because 25371711225 - 2⁵ = 25371711193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25371711225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 618822205 + ... + 618822245.

Almost surely, 2^25371711225 is an apocalyptic number.

25371711225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25371711225 is the 159285-th square number.

25371711225 is the 79643-rd centered octagonal number.

It is an amenable number.

25371711225 is an abundant number, since it is smaller than the sum of its proper divisors (30315988206).

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

25371711225 is a wasteful number, since it uses less digits than its factorization.

25371711225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

Multiplying 25371711225 by its sum of digits (36), we get a square (913381604100 = 955710²).

The spelling of 25371711225 in words is "twenty-five billion, three hundred seventy-one million, seven hundred eleven thousand, two hundred twenty-five".