507528 has 96 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 134784.

The previous prime is 507523. The next prime is 507557. The reversal of 507528 is 825705.

It is a happy number.

507528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

507528 is a nontrivial binomial coefficient, being equal to C(1008, 2).

It is not an unprimeable number, because it can be changed into a prime (507523) by changing a digit.

507528 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 23 ways as a sum of consecutive naturals, for example, 9550 + ... + 9602.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2⁵⁰⁷⁵²⁸ is an apocalyptic number.

507528 is the 1007-th triangular number and also the 504-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

507528 is an abundant number, since it is smaller than the sum of its proper divisors (1177272).

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

507528 is a wasteful number, since it uses less digits than its factorization.

507528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 507528 is about 712.4099943151. The cubic root of 507528 is about 79.7664018963.

It can be divided in two parts, 507 and 528, that added together give a triangular number (1035 = T₄₅).

The spelling of 507528 in words is "five hundred seven thousand, five hundred twenty-eight".