509325 has 12 divisors (see below), whose sum is σ = 842208. Its totient is φ = 271600.

The previous prime is 509317. The next prime is 509329. The reversal of 509325 is 523905.

It is not a de Polignac number, because 509325 - 2³ = 509317 is a prime.

It is a Curzon number.

509325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 509295 and 509304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509325.

It is not an unprimeable number, because it can be changed into a prime (509329) 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 11 ways as a sum of consecutive naturals, for example, 3321 + ... + 3470.

It is an arithmetic number, because the mean of its divisors is an integer number (70184).

2⁵⁰⁹³²⁵ is an apocalyptic number.

It is an amenable number.

509325 is a deficient number, since it is larger than the sum of its proper divisors (332883).

509325 is a wasteful number, since it uses less digits than its factorization.

509325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 509325 is about 713.6700918492. The cubic root of 509325 is about 79.8604337407.

The spelling of 509325 in words is "five hundred nine thousand, three hundred twenty-five".