317133417316 has 45 divisors (see below), whose sum is σ = 575446869305. Its totient is φ = 152927927760.

The previous prime is 317133417313. The next prime is 317133417323. The reversal of 317133417316 is 613714331713.

It is a happy number.

The square root of 317133417316 is 563146.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 300051972900 + 17081444416 = 547770^2 + 130696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317133417313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1082366466 + ... + 1082366758.

Almost surely, 2^317133417316 is an apocalyptic number.

317133417316 is the 563146-th square number.

It is an amenable number.

317133417316 is a deficient number, since it is larger than the sum of its proper divisors (258313451989).

317133417316 is an frugal number, since it uses more digits than its factorization.

317133417316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 326 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

It can be divided in two parts, 317133 and 417316, that added together give a square (734449 = 857²).

The spelling of 317133417316 in words is "three hundred seventeen billion, one hundred thirty-three million, four hundred seventeen thousand, three hundred sixteen".