506156516517 has 16 divisors (see below), whose sum is σ = 678744473600. Its totient is φ = 335505508272.

The previous prime is 506156516473. The next prime is 506156516653. The reversal of 506156516517 is 715615651605.

It is not a de Polignac number, because 506156516517 - 2¹⁹ = 506155992229 is a prime.

It is a super-2 number, since 2×506156516517² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506156516317) 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, 551628 + ... + 1147434.

It is an arithmetic number, because the mean of its divisors is an integer number (42421529600).

Almost surely, 2^506156516517 is an apocalyptic number.

It is an amenable number.

506156516517 is a deficient number, since it is larger than the sum of its proper divisors (172587957083).

506156516517 is a wasteful number, since it uses less digits than its factorization.

506156516517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597432.

The product of its (nonzero) digits is 945000, while the sum is 48.

The spelling of 506156516517 in words is "five hundred six billion, one hundred fifty-six million, five hundred sixteen thousand, five hundred seventeen".