33508013 has 32 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 25554480.

The previous prime is 33507989. The next prime is 33508019. The reversal of 33508013 is 31080533.

It is not a de Polignac number, because 33508013 - 2¹⁶ = 33442477 is a prime.

It is a super-2 number, since 2×33508013² = 2245573870416338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33508013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33508019) 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 in 31 ways as a sum of consecutive naturals, for example, 313106 + ... + 313212.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^33508013 is an apocalyptic number.

It is an amenable number.

33508013 is a deficient number, since it is larger than the sum of its proper divisors (10037587).

33508013 is a wasteful number, since it uses less digits than its factorization.

33508013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 33508013 is about 5788.6106277759. The cubic root of 33508013 is about 322.3909869316.

Adding to 33508013 its reverse (31080533), we get a palindrome (64588546).

The spelling of 33508013 in words is "thirty-three million, five hundred eight thousand, thirteen".