528313 has 2 divisors, whose sum is σ = 528314. Its totient is φ = 528312.

The previous prime is 528299. The next prime is 528317. The reversal of 528313 is 313825.

528313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 76729 = 672^2 + 277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-528313 is a prime.

It is a super-2 number, since 2×528313² = 558229251938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (528317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 264156 + 264157.

It is an arithmetic number, because the mean of its divisors is an integer number (264157).

2⁵²⁸³¹³ is an apocalyptic number.

It is an amenable number.

528313 is a deficient number, since it is larger than the sum of its proper divisors (1).

528313 is an equidigital number, since it uses as much as digits as its factorization.

528313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720, while the sum is 22.

The square root of 528313 is about 726.8514291105. The cubic root of 528313 is about 80.8407683198.

It can be divided in two parts, 528 and 313, that added together give a square (841 = 29²).

The spelling of 528313 in words is "five hundred twenty-eight thousand, three hundred thirteen".