522504 has 64 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 167040.

The previous prime is 522497. The next prime is 522517. The reversal of 522504 is 405225.

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

It is an unprimeable number.

522504 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 15 ways as a sum of consecutive naturals, for example, 8827 + ... + 8885.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2⁵²²⁵⁰⁴ is an apocalyptic number.

522504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

522504 is an abundant number, since it is smaller than the sum of its proper divisors (989496).

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

522504 is a wasteful number, since it uses less digits than its factorization.

522504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 522504 is about 722.8443815926. The cubic root of 522504 is about 80.5433841478.

Adding to 522504 its reverse (405225), we get a palindrome (927729).

It can be divided in two parts, 52 and 2504, that added together give a triangular number (2556 = T₇₁).

The spelling of 522504 in words is "five hundred twenty-two thousand, five hundred four".