317638756413 has 12 divisors (see below), whose sum is σ = 500521676928. Its totient is φ = 192508337160.

The previous prime is 317638756349. The next prime is 317638756439. The reversal of 317638756413 is 314657836713.

317638756413 is a `hidden beast` number, since 3 + 1 + 7 + 63 + 8 + 7 + 564 + 13 = 666.

It is not a de Polignac number, because 317638756413 - 2⁶ = 317638756349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 317638756413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317638756313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1604236045 + ... + 1604236242.

It is an arithmetic number, because the mean of its divisors is an integer number (41710139744).

Almost surely, 2^317638756413 is an apocalyptic number.

317638756413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

317638756413 is a deficient number, since it is larger than the sum of its proper divisors (182882920515).

317638756413 is a wasteful number, since it uses less digits than its factorization.

317638756413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208472304 (or 3208472301 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 317638756413 in words is "three hundred seventeen billion, six hundred thirty-eight million, seven hundred fifty-six thousand, four hundred thirteen".