509088 has 24 divisors (see below), whose sum is σ = 1336608. Its totient is φ = 169664.

The previous prime is 509087. The next prime is 509101. The reversal of 509088 is 880905.

509088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2556 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

2⁵⁰⁹⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

509088 is an abundant number, since it is smaller than the sum of its proper divisors (827520).

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

509088 is a wasteful number, since it uses less digits than its factorization.

509088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 509088 is about 713.5040294210. The cubic root of 509088 is about 79.8480448866.

The spelling of 509088 in words is "five hundred nine thousand, eighty-eight".