509680609 has 2 divisors, whose sum is σ = 509680610. Its totient is φ = 509680608.

The previous prime is 509680607. The next prime is 509680631. The reversal of 509680609 is 906086905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257506209 + 252174400 = 16047^2 + 15880^2 .

It is a cyclic number.

It is not a de Polignac number, because 509680609 - 2¹ = 509680607 is a prime.

It is a super-2 number, since 2×509680609² = 519548646381221762, which contains 22 as substring.

Together with 509680607, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (509680607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254840304 + 254840305.

It is an arithmetic number, because the mean of its divisors is an integer number (254840305).

Almost surely, 2^509680609 is an apocalyptic number.

It is an amenable number.

509680609 is a deficient number, since it is larger than the sum of its proper divisors (1).

509680609 is an equidigital number, since it uses as much as digits as its factorization.

509680609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 509680609 is about 22576.1070381942. The cubic root of 509680609 is about 798.7901551207.

The spelling of 509680609 in words is "five hundred nine million, six hundred eighty thousand, six hundred nine".