528825 has 24 divisors (see below), whose sum is σ = 955296. Its totient is φ = 256000.

The previous prime is 528823. The next prime is 528833.

528825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528825 - 2¹ = 528823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 528792 and 528801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528825.

It is not an unprimeable number, because it can be changed into a prime (528821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (39804).

2⁵²⁸⁸²⁵ is an apocalyptic number.

528825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

528825 is a deficient number, since it is larger than the sum of its proper divisors (426471).

528825 is a wasteful number, since it uses less digits than its factorization.

528825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 660 counting only the distinct ones).

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

The square root of 528825 is about 727.2035478461. The cubic root of 528825 is about 80.8668747565.

It can be divided in two parts, 528 and 825, that multiplied together give a square (435600 = 660²).

The spelling of 528825 in words is "five hundred twenty-eight thousand, eight hundred twenty-five".