525084 has 72 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 139104.

The previous prime is 525043. The next prime is 525101. The reversal of 525084 is 480525.

It is a nialpdrome in base 14.

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 525084.

It is an unprimeable number.

525084 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 23 ways as a sum of consecutive naturals, for example, 11149 + ... + 11195.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁵²⁵⁰⁸⁴ 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 525084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

525084 is an abundant number, since it is smaller than the sum of its proper divisors (1007076).

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

525084 is a wasteful number, since it uses less digits than its factorization.

525084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 525084 is about 724.6268004980. The cubic root of 525084 is about 80.6757345482.

The spelling of 525084 in words is "five hundred twenty-five thousand, eighty-four".