509317 has 2 divisors, whose sum is σ = 509318. Its totient is φ = 509316.

The previous prime is 509297. The next prime is 509329. The reversal of 509317 is 713905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 474721 + 34596 = 689^2 + 186^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509317 is a prime.

It is an Ulam number.

509317 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 509291 and 509300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254658 + 254659.

It is an arithmetic number, because the mean of its divisors is an integer number (254659).

2⁵⁰⁹³¹⁷ is an apocalyptic number.

It is an amenable number.

509317 is a deficient number, since it is larger than the sum of its proper divisors (1).

509317 is an equidigital number, since it uses as much as digits as its factorization.

509317 is an evil number, because the sum of its binary digits is even.

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

The square root of 509317 is about 713.6644869965. The cubic root of 509317 is about 79.8600156142.

The spelling of 509317 in words is "five hundred nine thousand, three hundred seventeen".