509532 has 12 divisors (see below), whose sum is σ = 1188936. Its totient is φ = 169840.

The previous prime is 509521. The next prime is 509543. The reversal of 509532 is 235905.

It is an interprime number because it is at equal distance from previous prime (509521) and next prime (509543).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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 509532.

It is an unprimeable number.

509532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 21219 + ... + 21242.

It is an arithmetic number, because the mean of its divisors is an integer number (99078).

2⁵⁰⁹⁵³² is an apocalyptic number.

It is an amenable number.

509532 is an abundant number, since it is smaller than the sum of its proper divisors (679404).

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

509532 is a wasteful number, since it uses less digits than its factorization.

509532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42468 (or 42466 counting only the distinct ones).

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

The square root of 509532 is about 713.8151021098. The cubic root of 509532 is about 79.8712512415.

The spelling of 509532 in words is "five hundred nine thousand, five hundred thirty-two".