12575876313 has 288 divisors, whose sum is σ = 25868989440. Its totient is φ = 5316917760.

The previous prime is 12575876297. The next prime is 12575876317. The reversal of 12575876313 is 31367857521.

It is not a de Polignac number, because 12575876313 - 2⁴ = 12575876297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12575876317) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 339888531 + ... + 339888567.

It is an arithmetic number, because the mean of its divisors is an integer number (89822880).

Almost surely, 2^12575876313 is an apocalyptic number.

12575876313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12575876313 is an abundant number, since it is smaller than the sum of its proper divisors (13293113127).

12575876313 is a wasteful number, since it uses less digits than its factorization.

12575876313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

It can be divided in two parts, 12575 and 876313, that added together give a palindrome (888888).

The spelling of 12575876313 in words is "twelve billion, five hundred seventy-five million, eight hundred seventy-six thousand, three hundred thirteen".