509164913 has 2 divisors, whose sum is σ = 509164914. Its totient is φ = 509164912.

The previous prime is 509164891. The next prime is 509164933. The reversal of 509164913 is 319461905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 461734144 + 47430769 = 21488^2 + 6887^2 .

It is a cyclic number.

It is not a de Polignac number, because 509164913 - 2⁸ = 509164657 is a prime.

It is not a weakly prime, because it can be changed into another prime (509164933) 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, 254582456 + 254582457.

It is an arithmetic number, because the mean of its divisors is an integer number (254582457).

Almost surely, 2^509164913 is an apocalyptic number.

It is an amenable number.

509164913 is a deficient number, since it is larger than the sum of its proper divisors (1).

509164913 is an equidigital number, since it uses as much as digits as its factorization.

509164913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 509164913 is about 22564.6828694755. The cubic root of 509164913 is about 798.5206583089.

The spelling of 509164913 in words is "five hundred nine million, one hundred sixty-four thousand, nine hundred thirteen".