516735124313 has 2 divisors, whose sum is σ = 516735124314. Its totient is φ = 516735124312.

The previous prime is 516735124307. The next prime is 516735124369. The reversal of 516735124313 is 313421537615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 505445636809 + 11289487504 = 710947^2 + 106252^2 .

It is a cyclic number.

It is not a de Polignac number, because 516735124313 - 2¹⁸ = 516734862169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (516735124303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258367562156 + 258367562157.

It is an arithmetic number, because the mean of its divisors is an integer number (258367562157).

Almost surely, 2^516735124313 is an apocalyptic number.

It is an amenable number.

516735124313 is a deficient number, since it is larger than the sum of its proper divisors (1).

516735124313 is an equidigital number, since it uses as much as digits as its factorization.

516735124313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 41.

The spelling of 516735124313 in words is "five hundred sixteen billion, seven hundred thirty-five million, one hundred twenty-four thousand, three hundred thirteen".