528524 has 12 divisors (see below), whose sum is σ = 938448. Its totient is φ = 260400.

The previous prime is 528511. The next prime is 528527. The reversal of 528524 is 425825.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 5 + 2 + 5³ + 8 + 2¹⁹ + 4⁶ .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 528493 and 528502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528527) by changing a digit.

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, 647 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (78204).

2⁵²⁸⁵²⁴ is an apocalyptic number.

It is an amenable number.

528524 is a deficient number, since it is larger than the sum of its proper divisors (409924).

528524 is a wasteful number, since it uses less digits than its factorization.

528524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1934 counting only the distinct ones).

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

The square root of 528524 is about 726.9965612023. The cubic root of 528524 is about 80.8515290694.

It can be divided in two parts, 528 and 524, that multiplied together give a palindrome (276672).

The spelling of 528524 in words is "five hundred twenty-eight thousand, five hundred twenty-four".