528013 has 2 divisors, whose sum is σ = 528014. Its totient is φ = 528012.

The previous prime is 528001. The next prime is 528041. The reversal of 528013 is 310825.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 514089 + 13924 = 717^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 528013 - 2⁵ = 527981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (528043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 264006 + 264007.

It is an arithmetic number, because the mean of its divisors is an integer number (264007).

2⁵²⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

528013 is a deficient number, since it is larger than the sum of its proper divisors (1).

528013 is an equidigital number, since it uses as much as digits as its factorization.

528013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 528013 is about 726.6450302589. The cubic root of 528013 is about 80.8254637419.

Adding to 528013 its reverse (310825), we get a palindrome (838838).

The spelling of 528013 in words is "five hundred twenty-eight thousand, thirteen".