525828 has 24 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 169120.

The previous prime is 525817. The next prime is 525839. The reversal of 525828 is 828525.

It is an interprime number because it is at equal distance from previous prime (525817) and next prime (525839).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5² + 2 + 8 + 5⁸ + 2¹⁷ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 525795 and 525804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 525828.

It is an unprimeable number.

525828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁵²⁵⁸²⁸ is an apocalyptic number.

525828 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

525828 is an abundant number, since it is smaller than the sum of its proper divisors (744252).

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

525828 is a wasteful number, since it uses less digits than its factorization.

525828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1545 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 525828 is about 725.1399864854. The cubic root of 525828 is about 80.7138201495.

The spelling of 525828 in words is "five hundred twenty-five thousand, eight hundred twenty-eight".