509346113 has 2 divisors, whose sum is σ = 509346114. Its totient is φ = 509346112.

The previous prime is 509346067. The next prime is 509346133. The reversal of 509346113 is 311643905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414244609 + 95101504 = 20353^2 + 9752^2 .

It is a cyclic number.

It is not a de Polignac number, because 509346113 - 2²² = 505151809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509346113.

It is not a weakly prime, because it can be changed into another prime (509346133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254673056 + 254673057.

It is an arithmetic number, because the mean of its divisors is an integer number (254673057).

Almost surely, 2^509346113 is an apocalyptic number.

It is an amenable number.

509346113 is a deficient number, since it is larger than the sum of its proper divisors (1).

509346113 is an equidigital number, since it uses as much as digits as its factorization.

509346113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 509346113 is about 22568.6976363281. The cubic root of 509346113 is about 798.6153720770.

The spelling of 509346113 in words is "five hundred nine million, three hundred forty-six thousand, one hundred thirteen".