509939137 has 2 divisors, whose sum is σ = 509939138. Its totient is φ = 509939136.

The previous prime is 509939113. The next prime is 509939147. The reversal of 509939137 is 731939905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 500148496 + 9790641 = 22364^2 + 3129^2 .

It is a cyclic number.

It is not a de Polignac number, because 509939137 - 2¹⁹ = 509414849 is a prime.

It is not a weakly prime, because it can be changed into another prime (509939147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254969568 + 254969569.

It is an arithmetic number, because the mean of its divisors is an integer number (254969569).

Almost surely, 2^509939137 is an apocalyptic number.

It is an amenable number.

509939137 is a deficient number, since it is larger than the sum of its proper divisors (1).

509939137 is an equidigital number, since it uses as much as digits as its factorization.

509939137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 229635, while the sum is 46.

The square root of 509939137 is about 22581.8320115973. The cubic root of 509939137 is about 798.9251904815.

The spelling of 509939137 in words is "five hundred nine million, nine hundred thirty-nine thousand, one hundred thirty-seven".