513685873 has 2 divisors, whose sum is σ = 513685874. Its totient is φ = 513685872.

The previous prime is 513685867. The next prime is 513685877. The reversal of 513685873 is 378586315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271821169 + 241864704 = 16487^2 + 15552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513685873 is a prime.

It is a super-2 number, since 2×513685873² = 527746352239544258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513685877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256842936 + 256842937.

It is an arithmetic number, because the mean of its divisors is an integer number (256842937).

Almost surely, 2^513685873 is an apocalyptic number.

It is an amenable number.

513685873 is a deficient number, since it is larger than the sum of its proper divisors (1).

513685873 is an equidigital number, since it uses as much as digits as its factorization.

513685873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 604800, while the sum is 46.

The square root of 513685873 is about 22664.6392647225. The cubic root of 513685873 is about 800.8770968791.

The spelling of 513685873 in words is "five hundred thirteen million, six hundred eighty-five thousand, eight hundred seventy-three".