317065505560713 has 128 divisors (see below), whose sum is σ = 598100411596800. Its totient is φ = 161465552430336.

The previous prime is 317065505560711. The next prime is 317065505560919.

317065505560713 is a `hidden beast` number, since 3 + 1 + 7 + 0 + 6 + 5 + 5 + 0 + 5 + 560 + 71 + 3 = 666.

317065505560713 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 317065505560713 - 2¹ = 317065505560711 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 317065505560713.

It is not an unprimeable number, because it can be changed into a prime (317065505560711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1127295606 + ... + 1127576832.

It is an arithmetic number, because the mean of its divisors is an integer number (4672659465600).

Almost surely, 2^{317065505560713} is an apocalyptic number.

It is an amenable number.

317065505560713 is a deficient number, since it is larger than the sum of its proper divisors (281034906036087).

317065505560713 is a wasteful number, since it uses less digits than its factorization.

317065505560713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297108 (or 297102 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 317065505560713 in words is "three hundred seventeen trillion, sixty-five billion, five hundred five million, five hundred sixty thousand, seven hundred thirteen".