525960 has 64 divisors (see below), whose sum is σ = 1756800. Its totient is φ = 139968.

The previous prime is 525953. The next prime is 525961. The reversal of 525960 is 69525.

525960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525961) by changing a digit.

525960 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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (27450).

2⁵²⁵⁹⁶⁰ 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 525960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878400).

525960 is an abundant number, since it is smaller than the sum of its proper divisors (1230840).

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

525960 is a wasteful number, since it uses less digits than its factorization.

525960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 525960 is about 725.2309976828. The cubic root of 525960 is about 80.7205735194.

It can be divided in two parts, 525 and 960, that added together give a triangular number (1485 = T₅₄).

The spelling of 525960 in words is "five hundred twenty-five thousand, nine hundred sixty".