509235 has 16 divisors (see below), whose sum is σ = 863136. Its totient is φ = 255488.

The previous prime is 509227. The next prime is 509239. The reversal of 509235 is 532905.

It is a cyclic number.

It is not a de Polignac number, because 509235 - 2³ = 509227 is a prime.

509235 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509235.

It is not an unprimeable number, because it can be changed into a prime (509239) 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 15 ways as a sum of consecutive naturals, for example, 744 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (53946).

2⁵⁰⁹²³⁵ is an apocalyptic number.

509235 is a deficient number, since it is larger than the sum of its proper divisors (353901).

509235 is a wasteful number, since it uses less digits than its factorization.

509235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022.

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

The square root of 509235 is about 713.6070347187. The cubic root of 509235 is about 79.8557295653.

The spelling of 509235 in words is "five hundred nine thousand, two hundred thirty-five".