5258314138525 has 48 divisors (see below), whose sum is σ = 7564225037184. Its totient is φ = 3551310766080.

The previous prime is 5258314138507. The next prime is 5258314138559.

5258314138525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5258314138525 - 2⁷ = 5258314138397 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, 80084109 + ... + 80149741.

It is an arithmetic number, because the mean of its divisors is an integer number (157588021608).

Almost surely, 2^{5258314138525} is an apocalyptic number.

It is an amenable number.

5258314138525 is a deficient number, since it is larger than the sum of its proper divisors (2305910898659).

5258314138525 is a wasteful number, since it uses less digits than its factorization.

5258314138525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72550 (or 72545 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 52.

The spelling of 5258314138525 in words is "five trillion, two hundred fifty-eight billion, three hundred fourteen million, one hundred thirty-eight thousand, five hundred twenty-five".