509552609 has 2 divisors, whose sum is σ = 509552610. Its totient is φ = 509552608.

The previous prime is 509552599. The next prime is 509552627. The reversal of 509552609 is 906255905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 468592609 + 40960000 = 21647^2 + 6400^2 .

It is a cyclic number.

It is not a de Polignac number, because 509552609 - 2¹⁶ = 509487073 is a prime.

It is a super-2 number, since 2×509552609² = 519287722677413762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (509552669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254776304 + 254776305.

It is an arithmetic number, because the mean of its divisors is an integer number (254776305).

Almost surely, 2^509552609 is an apocalyptic number.

It is an amenable number.

509552609 is a deficient number, since it is larger than the sum of its proper divisors (1).

509552609 is an equidigital number, since it uses as much as digits as its factorization.

509552609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 121500, while the sum is 41.

The square root of 509552609 is about 22573.2720047405. The cubic root of 509552609 is about 798.7232807564.

The spelling of 509552609 in words is "five hundred nine million, five hundred fifty-two thousand, six hundred nine".