33528013 has 2 divisors, whose sum is σ = 33528014. Its totient is φ = 33528012.

The previous prime is 33528007. The next prime is 33528017. The reversal of 33528013 is 31082533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33212169 + 315844 = 5763^2 + 562^2 .

It is a cyclic number.

It is not a de Polignac number, because 33528013 - 2⁵ = 33527981 is a prime.

It is a super-2 number, since 2×33528013² = 2248255311456338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33528017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16764006 + 16764007.

It is an arithmetic number, because the mean of its divisors is an integer number (16764007).

Almost surely, 2^33528013 is an apocalyptic number.

It is an amenable number.

33528013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33528013 is an equidigital number, since it uses as much as digits as its factorization.

33528013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 33528013 is about 5790.3379003302. The cubic root of 33528013 is about 322.4551162423.

The spelling of 33528013 in words is "thirty-three million, five hundred twenty-eight thousand, thirteen".