25760557251 has 80 divisors (see below), whose sum is σ = 45313551360. Its totient is φ = 14378316480.

The previous prime is 25760557247. The next prime is 25760557309. The reversal of 25760557251 is 15275506752.

25760557251 is a `hidden beast` number, since 2 + 5 + 76 + 0 + 5 + 572 + 5 + 1 = 666.

It is not a de Polignac number, because 25760557251 - 2² = 25760557247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25760557197 and 25760557206.

It is not an unprimeable number, because it can be changed into a prime (25760557201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5545936 + ... + 5550578.

It is an arithmetic number, because the mean of its divisors is an integer number (566419392).

Almost surely, 2^25760557251 is an apocalyptic number.

25760557251 is a deficient number, since it is larger than the sum of its proper divisors (19552994109).

25760557251 is a wasteful number, since it uses less digits than its factorization.

25760557251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 25760557251 in words is "twenty-five billion, seven hundred sixty million, five hundred fifty-seven thousand, two hundred fifty-one".