516552643644717 has 16 divisors (see below), whose sum is σ = 689067298483200. Its totient is φ = 344203212356400.

The previous prime is 516552643644701. The next prime is 516552643644733. The reversal of 516552643644717 is 717446346255615.

It is an interprime number because it is at equal distance from previous prime (516552643644701) and next prime (516552643644733).

It is not a de Polignac number, because 516552643644717 - 2⁴ = 516552643644701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516552643644767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697739242 + ... + 698479172.

It is an arithmetic number, because the mean of its divisors is an integer number (43066706155200).

Almost surely, 2^{516552643644717} is an apocalyptic number.

It is an amenable number.

516552643644717 is a deficient number, since it is larger than the sum of its proper divisors (172514654838483).

516552643644717 is a wasteful number, since it uses less digits than its factorization.

516552643644717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851264.

The product of its digits is 508032000, while the sum is 66.

The spelling of 516552643644717 in words is "five hundred sixteen trillion, five hundred fifty-two billion, six hundred forty-three million, six hundred forty-four thousand, seven hundred seventeen".