509032 has 8 divisors (see below), whose sum is σ = 954450. Its totient is φ = 254512.

The previous prime is 509027. The next prime is 509053. The reversal of 509032 is 230905.

It can be written as a sum of positive squares in only one way, i.e., 454276 + 54756 = 674^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×509032² = 518227154048, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31807 + ... + 31822.

2⁵⁰⁹⁰³² is an apocalyptic number.

It is an amenable number.

509032 is a deficient number, since it is larger than the sum of its proper divisors (445418).

509032 is a wasteful number, since it uses less digits than its factorization.

509032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63635 (or 63631 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 509032 is about 713.4647853959. The cubic root of 509032 is about 79.8451170009.

Adding to 509032 its reverse (230905), we get a palindrome (739937).

It can be divided in two parts, 50903 and 2, that added together give a palindrome (50905).

The spelling of 509032 in words is "five hundred nine thousand, thirty-two".