525824 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 239616.

The previous prime is 525817. The next prime is 525839. The reversal of 525824 is 428525.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 5² + 2 + 8⁴ + 5⁸ + 2¹⁷ + 4 .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 525824 = 24³ + 80³ = 62³ + 66³.

It is a junction number, because it is equal to n+sod(n) for n = 525793 and 525802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 525824.

It is an unprimeable number.

525824 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6617 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁵²⁵⁸²⁴ 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 525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

525824 is an abundant number, since it is smaller than the sum of its proper divisors (619936).

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

525824 is an equidigital number, since it uses as much as digits as its factorization.

525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 525824 is about 725.1372283920. The cubic root of 525824 is about 80.7136154843.

The spelling of 525824 in words is "five hundred twenty-five thousand, eight hundred twenty-four".