5258642468525 has 24 divisors (see below), whose sum is σ = 6599974553760. Its totient is φ = 4155790530240.

The previous prime is 5258642468509. The next prime is 5258642468539.

5258642468525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5258642468525 - 2⁴ = 5258642468509 is a prime.

It is a super-2 number, since 2×5258642468525² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20328899 + ... + 20585951.

It is an arithmetic number, because the mean of its divisors is an integer number (274998939740).

Almost surely, 2^{5258642468525} is an apocalyptic number.

It is an amenable number.

5258642468525 is a deficient number, since it is larger than the sum of its proper divisors (1341332085235).

5258642468525 is a wasteful number, since it uses less digits than its factorization.

5258642468525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267005 (or 267000 counting only the distinct ones).

The product of its digits is 184320000, while the sum is 62.

The spelling of 5258642468525 in words is "five trillion, two hundred fifty-eight billion, six hundred forty-two million, four hundred sixty-eight thousand, five hundred twenty-five".