509085 has 24 divisors (see below), whose sum is σ = 917280. Its totient is φ = 270864.

The previous prime is 509071. The next prime is 509087. The reversal of 509085 is 580905.

It is not a de Polignac number, because 509085 - 2⁵ = 509053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

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 509085.

It is not an unprimeable number, because it can be changed into a prime (509087) 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 23 ways as a sum of consecutive naturals, for example, 1006 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁵⁰⁹⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

509085 is a deficient number, since it is larger than the sum of its proper divisors (408195).

509085 is an equidigital number, since it uses as much as digits as its factorization.

509085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 509085 is about 713.5019271172. The cubic root of 509085 is about 79.8478880410.

The spelling of 509085 in words is "five hundred nine thousand, eighty-five".