509338369 has 2 divisors, whose sum is σ = 509338370. Its totient is φ = 509338368.

The previous prime is 509338331. The next prime is 509338391. The reversal of 509338369 is 963833905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262440000 + 246898369 = 16200^2 + 15713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509338369 is a prime.

It is a super-2 number, since 2×509338369² = 518851148271160322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (509330369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254669184 + 254669185.

It is an arithmetic number, because the mean of its divisors is an integer number (254669185).

Almost surely, 2^509338369 is an apocalyptic number.

It is an amenable number.

509338369 is a deficient number, since it is larger than the sum of its proper divisors (1).

509338369 is an equidigital number, since it uses as much as digits as its factorization.

509338369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 524880, while the sum is 46.

The square root of 509338369 is about 22568.5260706144. The cubic root of 509338369 is about 798.6113247252.

The spelling of 509338369 in words is "five hundred nine million, three hundred thirty-eight thousand, three hundred sixty-nine".