509319 has 6 divisors (see below), whose sum is σ = 735696. Its totient is φ = 339540.

The previous prime is 509317. The next prime is 509329. The reversal of 509319 is 913905.

It is not a de Polignac number, because 509319 - 2¹ = 509317 is a prime.

It is a super-2 number, since 2×509319² = 518811687522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 509292 and 509301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28287 + ... + 28304.

It is an arithmetic number, because the mean of its divisors is an integer number (122616).

2⁵⁰⁹³¹⁹ is an apocalyptic number.

509319 is a deficient number, since it is larger than the sum of its proper divisors (226377).

509319 is a wasteful number, since it uses less digits than its factorization.

509319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56597 (or 56594 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 509319 is about 713.6658882138. The cubic root of 509319 is about 79.8601201462.

It can be divided in two parts, 509 and 319, that added together give a palindrome (828).

The spelling of 509319 in words is "five hundred nine thousand, three hundred nineteen".