12771825157 has 48 divisors (see below), whose sum is σ = 16281581232. Its totient is φ = 9928396800.

The previous prime is 12771825151. The next prime is 12771825179. The reversal of 12771825157 is 75152817721.

It can be written as a sum of positive squares in 8 ways, for example, as 666104481 + 12105720676 = 25809^2 + 110026^2 .

It is not a de Polignac number, because 12771825157 - 2²³ = 12763436549 is a prime.

It is the 113013-rd Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771825151) by changing a digit.

It is a nontrivial repunit in base 113012.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21250657 + ... + 21251257.

It is an arithmetic number, because the mean of its divisors is an integer number (339199609).

Almost surely, 2^12771825157 is an apocalyptic number.

It is an amenable number.

12771825157 is a deficient number, since it is larger than the sum of its proper divisors (3509756075).

12771825157 is a wasteful number, since it uses less digits than its factorization.

12771825157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1151 counting only the distinct ones).

The product of its digits is 274400, while the sum is 46.

The spelling of 12771825157 in words is "twelve billion, seven hundred seventy-one million, eight hundred twenty-five thousand, one hundred fifty-seven".