516515000157 has 40 divisors (see below), whose sum is σ = 832320371960. Its totient is φ = 317326118400.

The previous prime is 516515000143. The next prime is 516515000179. The reversal of 516515000157 is 751000515615.

It is a happy number.

516515000157 is a `hidden beast` number, since 51 + 6 + 51 + 500 + 0 + 1 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75221838756 + 441293161401 = 274266^2 + 664299^2 .

It is not a de Polignac number, because 516515000157 - 2¹⁵ = 516514967389 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 (516515000557) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224769 + ... + 1040937.

It is an arithmetic number, because the mean of its divisors is an integer number (20808009299).

Almost surely, 2^516515000157 is an apocalyptic number.

It is an amenable number.

516515000157 is a deficient number, since it is larger than the sum of its proper divisors (315805371803).

516515000157 is a wasteful number, since it uses less digits than its factorization.

516515000157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816795 (or 816786 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The spelling of 516515000157 in words is "five hundred sixteen billion, five hundred fifteen million, one hundred fifty-seven", and thus it is an aban number.