525360 has 80 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 126720.

The previous prime is 525359. The next prime is 525361. The reversal of 525360 is 63525.

It is an interprime number because it is at equal distance from previous prime (525359) and next prime (525361).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (525361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541 + ... + 2739.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁵²⁵³⁶⁰ 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 525360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

525360 is an abundant number, since it is smaller than the sum of its proper divisors (1260240).

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

525360 is a wasteful number, since it uses less digits than its factorization.

525360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 525360 is about 724.8172183385. The cubic root of 525360 is about 80.6898672727.

Adding to 525360 its reverse (63525), we get a palindrome (588885).

The spelling of 525360 in words is "five hundred twenty-five thousand, three hundred sixty".