525504 has 112 divisors (see below), whose sum is σ = 1755648. Its totient is φ = 135168.

The previous prime is 525493. The next prime is 525517. The reversal of 525504 is 405525.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22837 + ... + 22859.

2⁵²⁵⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824).

525504 is an abundant number, since it is smaller than the sum of its proper divisors (1230144).

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

525504 is a wasteful number, since it uses less digits than its factorization.

525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 525504 is about 724.9165469211. The cubic root of 525504 is about 80.6972389032.

Adding to 525504 its sum of digits (21), we get a palindrome (525525).

The spelling of 525504 in words is "five hundred twenty-five thousand, five hundred four".