525864 has 16 divisors (see below), whose sum is σ = 1314720. Its totient is φ = 175280.

The previous prime is 525839. The next prime is 525869. The reversal of 525864 is 468525.

525864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 5⁴ + 2¹⁹ + 8² + 5⁴ + 6 + 4⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 525864.

It is not an unprimeable number, because it can be changed into a prime (525869) by changing a digit.

525864 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 3 ways as a sum of consecutive naturals, for example, 10932 + ... + 10979.

It is an arithmetic number, because the mean of its divisors is an integer number (82170).

2⁵²⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

525864 is an abundant number, since it is smaller than the sum of its proper divisors (788856).

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

525864 is a wasteful number, since it uses less digits than its factorization.

525864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21920 (or 21916 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 525864 is about 725.1648088538. The cubic root of 525864 is about 80.7156620898.

The spelling of 525864 in words is "five hundred twenty-five thousand, eight hundred sixty-four".