5258610168525 has 48 divisors (see below), whose sum is σ = 11040299030400. Its totient is φ = 2403936074880.

The previous prime is 5258610168473. The next prime is 5258610168547.

It is a happy number.

5258610168525 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 6 + 101 + 6 + 8 + 525 = 666.

5258610168525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5258610168525 - 2²⁰ = 5258609119949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556461960 + ... + 556471409.

It is an arithmetic number, because the mean of its divisors is an integer number (230006229800).

Almost surely, 2^{5258610168525} is an apocalyptic number.

It is an amenable number.

5258610168525 is an abundant number, since it is smaller than the sum of its proper divisors (5781688861875).

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

5258610168525 is a wasteful number, since it uses less digits than its factorization.

5258610168525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112933395 (or 1112933384 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 5258610168525 in words is "five trillion, two hundred fifty-eight billion, six hundred ten million, one hundred sixty-eight thousand, five hundred twenty-five".