12813712505057 has 8 divisors (see below), whose sum is σ = 12819653247240. Its totient is φ = 12807772257280.

The previous prime is 12813712505047. The next prime is 12813712505059. The reversal of 12813712505057 is 75050521731821.

12813712505057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 171819369121 + 12641893135936 = 414511^2 + 3555544^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12813712505057 - 2²⁴ = 12813695727841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12813712505059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57994169 + ... + 58214697.

It is an arithmetic number, because the mean of its divisors is an integer number (1602456655905).

Almost surely, 2^{12813712505057} is an apocalyptic number.

It is an amenable number.

12813712505057 is a deficient number, since it is larger than the sum of its proper divisors (5940742183).

12813712505057 is a wasteful number, since it uses less digits than its factorization.

12813712505057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247203.

The product of its (nonzero) digits is 588000, while the sum is 47.

The spelling of 12813712505057 in words is "twelve trillion, eight hundred thirteen billion, seven hundred twelve million, five hundred five thousand, fifty-seven".