509316113 has 2 divisors, whose sum is σ = 509316114. Its totient is φ = 509316112.

The previous prime is 509316091. The next prime is 509316127. The reversal of 509316113 is 311613905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 362978704 + 146337409 = 19052^2 + 12097^2 .

It is a cyclic number.

It is not a de Polignac number, because 509316113 - 2¹⁴ = 509299729 is a prime.

It is a super-2 number, since 2×509316113² = 518805805922857538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (509346113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254658056 + 254658057.

It is an arithmetic number, because the mean of its divisors is an integer number (254658057).

Almost surely, 2^509316113 is an apocalyptic number.

It is an amenable number.

509316113 is a deficient number, since it is larger than the sum of its proper divisors (1).

509316113 is an equidigital number, since it uses as much as digits as its factorization.

509316113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 509316113 is about 22568.0329891641. The cubic root of 509316113 is about 798.5996925414.

The spelling of 509316113 in words is "five hundred nine million, three hundred sixteen thousand, one hundred thirteen".