509687713 has 8 divisors (see below), whose sum is σ = 515290536. Its totient is φ = 504096000.

The previous prime is 509687683. The next prime is 509687719. The reversal of 509687713 is 317786905.

It can be written as a sum of positive squares in 4 ways, for example, as 269189649 + 240498064 = 16407^2 + 15508^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509687713 - 2⁹ = 509687201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509687719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117145 + ... + 121417.

It is an arithmetic number, because the mean of its divisors is an integer number (64411317).

Almost surely, 2^509687713 is an apocalyptic number.

It is an amenable number.

509687713 is a deficient number, since it is larger than the sum of its proper divisors (5602823).

509687713 is a wasteful number, since it uses less digits than its factorization.

509687713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 509687713 is about 22576.2643721232. The cubic root of 509687713 is about 798.7938663200.

The spelling of 509687713 in words is "five hundred nine million, six hundred eighty-seven thousand, seven hundred thirteen".