509136 has 20 divisors (see below), whose sum is σ = 1315392. Its totient is φ = 169696.

The previous prime is 509123. The next prime is 509137. The reversal of 509136 is 631905.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 509136.

It is not an unprimeable number, because it can be changed into a prime (509137) by changing a digit.

509136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5256 + ... + 5351.

2⁵⁰⁹¹³⁶ is an apocalyptic number.

It is an amenable number.

509136 is an abundant number, since it is smaller than the sum of its proper divisors (806256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509136 is a wasteful number, since it uses less digits than its factorization.

509136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 509136 is about 713.5376654389. The cubic root of 509136 is about 79.8505543321.

The spelling of 509136 in words is "five hundred nine thousand, one hundred thirty-six".