531504 has 30 divisors (see below), whose sum is σ = 1487876. Its totient is φ = 177120.

The previous prime is 531497. The next prime is 531521. The reversal of 531504 is 405135.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 11 and base 13.

It is a zygodrome in base 11.

It is an unprimeable number.

531504 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 5 ways as a sum of consecutive naturals, for example, 1702 + ... + 1989.

2⁵³¹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

531504 is an abundant number, since it is smaller than the sum of its proper divisors (956372).

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

531504 is a wasteful number, since it uses less digits than its factorization.

531504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 531504 is about 729.0432085960. The cubic root of 531504 is about 81.0032006051.

Adding to 531504 its reverse (405135), we get a palindrome (936639).

It can be divided in two parts, 531 and 504, that added together give a triangular number (1035 = T₄₅).

The spelling of 531504 in words is "five hundred thirty-one thousand, five hundred four".