517211717 has 12 divisors (see below), whose sum is σ = 570163020. Its totient is φ = 468821760.

The previous prime is 517211707. The next prime is 517211731. The reversal of 517211717 is 717112715.

It can be written as a sum of positive squares in 2 ways, for example, as 412333636 + 104878081 = 20306^2 + 10241^2 .

It is not a de Polignac number, because 517211717 - 2⁴ = 517211701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517211707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36659 + ... + 48767.

It is an arithmetic number, because the mean of its divisors is an integer number (47513585).

Almost surely, 2^517211717 is an apocalyptic number.

It is an amenable number.

517211717 is a deficient number, since it is larger than the sum of its proper divisors (52951303).

517211717 is a wasteful number, since it uses less digits than its factorization.

517211717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12484 (or 12473 counting only the distinct ones).

The product of its digits is 3430, while the sum is 32.

The square root of 517211717 is about 22742.2891767737. The cubic root of 517211717 is about 802.7052774680.

The spelling of 517211717 in words is "five hundred seventeen million, two hundred eleven thousand, seven hundred seventeen".