525288 has 32 divisors (see below), whose sum is σ = 1346400. Its totient is φ = 170688.

The previous prime is 525257. The next prime is 525299. The reversal of 525288 is 882525.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

525288 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

2⁵²⁵²⁸⁸ 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 525288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673200).

525288 is an abundant number, since it is smaller than the sum of its proper divisors (821112).

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

525288 is a wasteful number, since it uses less digits than its factorization.

525288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 525288 is about 724.7675489424. The cubic root of 525288 is about 80.6861809523.

The spelling of 525288 in words is "five hundred twenty-five thousand, two hundred eighty-eight".