317244282442713 has 64 divisors (see below), whose sum is σ = 485711114403840. Its totient is φ = 204496008868800.

The previous prime is 317244282442699. The next prime is 317244282442721.

It is a happy number.

317244282442713 is a `hidden beast` number, since 3 + 1 + 72 + 4 + 42 + 82 + 442 + 7 + 13 = 666.

317244282442713 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 317244282442713 - 2⁴ = 317244282442697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 317244282442713.

It is not an unprimeable number, because it can be changed into a prime (317244282442013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188252856 + ... + 189930582.

It is an arithmetic number, because the mean of its divisors is an integer number (7589236162560).

Almost surely, 2^{317244282442713} is an apocalyptic number.

It is an amenable number.

317244282442713 is a deficient number, since it is larger than the sum of its proper divisors (168466831961127).

317244282442713 is a wasteful number, since it uses less digits than its factorization.

317244282442713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678955 (or 1678949 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

It can be divided in two parts, 3172442 and 82442713, that added together give a triangular number (85615155 = T₁₃₀₈₅).

The spelling of 317244282442713 in words is "three hundred seventeen trillion, two hundred forty-four billion, two hundred eighty-two million, four hundred forty-two thousand, seven hundred thirteen".