513074113 has 2 divisors, whose sum is σ = 513074114. Its totient is φ = 513074112.

The previous prime is 513074083. The next prime is 513074129. The reversal of 513074113 is 311470315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 496041984 + 17032129 = 22272^2 + 4127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513074113 is a prime.

It is not a weakly prime, because it can be changed into another prime (513074173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256537056 + 256537057.

It is an arithmetic number, because the mean of its divisors is an integer number (256537057).

Almost surely, 2^513074113 is an apocalyptic number.

It is an amenable number.

513074113 is a deficient number, since it is larger than the sum of its proper divisors (1).

513074113 is an equidigital number, since it uses as much as digits as its factorization.

513074113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 513074113 is about 22651.1393311683. The cubic root of 513074113 is about 800.5590431017.

The spelling of 513074113 in words is "five hundred thirteen million, seventy-four thousand, one hundred thirteen".