509308935 has 12 divisors (see below), whose sum is σ = 815034168. Its totient is φ = 271584816.

The previous prime is 509308913. The next prime is 509308937. The reversal of 509308935 is 539803905.

It is not a de Polignac number, because 509308935 - 2¹⁵ = 509276167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509308937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84492 + ... + 90318.

It is an arithmetic number, because the mean of its divisors is an integer number (67919514).

Almost surely, 2^509308935 is an apocalyptic number.

509308935 is a deficient number, since it is larger than the sum of its proper divisors (305725233).

509308935 is an frugal number, since it uses more digits than its factorization.

509308935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11662 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 509308935 is about 22567.8739583506. The cubic root of 509308935 is about 798.5959408599.

The spelling of 509308935 in words is "five hundred nine million, three hundred eight thousand, nine hundred thirty-five".