528509 has 2 divisors, whose sum is σ = 528510. Its totient is φ = 528508.

The previous prime is 528491. The next prime is 528511. The reversal of 528509 is 905825.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 521284 + 7225 = 722^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 528509 - 2¹² = 524413 is a prime.

It is a Sophie Germain prime.

Together with 528511, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

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 528509.

It is not a weakly prime, because it can be changed into another prime (528559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 264254 + 264255.

It is an arithmetic number, because the mean of its divisors is an integer number (264255).

2⁵²⁸⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

528509 is a deficient number, since it is larger than the sum of its proper divisors (1).

528509 is an equidigital number, since it uses as much as digits as its factorization.

528509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 528509 is about 726.9862447117. The cubic root of 528509 is about 80.8507641818.

The spelling of 528509 in words is "five hundred twenty-eight thousand, five hundred nine".