525800 has 48 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 190400.

The previous prime is 525781. The next prime is 525809. The reversal of 525800 is 8525.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (525809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2081 + ... + 2319.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁵²⁵⁸⁰⁰ is an apocalyptic number.

525800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

525800 is an abundant number, since it is smaller than the sum of its proper divisors (813400).

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

525800 is a wasteful number, since it uses less digits than its factorization.

525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 525800 is about 725.1206796113. The cubic root of 525800 is about 80.7123874713.

The spelling of 525800 in words is "five hundred twenty-five thousand, eight hundred".