509064 has 16 divisors (see below), whose sum is σ = 1272720. Its totient is φ = 169680.

The previous prime is 509063. The next prime is 509071. The reversal of 509064 is 460905.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 21211 = 509064 / (5 + 0 + 9 + 0 + 6 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509064.

It is not an unprimeable number, because it can be changed into a prime (509063) 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, 10582 + ... + 10629.

It is an arithmetic number, because the mean of its divisors is an integer number (79545).

2⁵⁰⁹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

509064 is an abundant number, since it is smaller than the sum of its proper divisors (763656).

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

509064 is a wasteful number, since it uses less digits than its factorization.

509064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21220 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 509064 is about 713.4872108174. The cubic root of 509064 is about 79.8467901047.

Adding to 509064 its reverse (460905), we get a palindrome (969969).

The spelling of 509064 in words is "five hundred nine thousand, sixty-four".