509713 has 8 divisors (see below), whose sum is σ = 543200. Its totient is φ = 476928.

The previous prime is 509699. The next prime is 509723. The reversal of 509713 is 317905.

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 509713 - 2⁵ = 509681 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509723) 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, 2545 + ... + 2737.

It is an arithmetic number, because the mean of its divisors is an integer number (67900).

2⁵⁰⁹⁷¹³ is an apocalyptic number.

It is an amenable number.

509713 is a deficient number, since it is larger than the sum of its proper divisors (33487).

509713 is a wasteful number, since it uses less digits than its factorization.

509713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 509713 is about 713.9418743847. The cubic root of 509713 is about 79.8807076217.

The spelling of 509713 in words is "five hundred nine thousand, seven hundred thirteen".