33013053 has 6 divisors (see below), whose sum is σ = 47685534. Its totient is φ = 22008696.

The previous prime is 33013039. The next prime is 33013069. The reversal of 33013053 is 35031033.

It can be written as a sum of positive squares in only one way, i.e., 28164249 + 4848804 = 5307^2 + 2202^2 .

It is not a de Polignac number, because 33013053 - 2⁵ = 33013021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1834050 + ... + 1834067.

It is an arithmetic number, because the mean of its divisors is an integer number (7947589).

Almost surely, 2^33013053 is an apocalyptic number.

It is an amenable number.

33013053 is a deficient number, since it is larger than the sum of its proper divisors (14672481).

33013053 is a wasteful number, since it uses less digits than its factorization.

33013053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668123 (or 3668120 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 33013053 is about 5745.6986520353. The cubic root of 33013053 is about 320.7957182790.

Adding to 33013053 its reverse (35031033), we get a palindrome (68044086).

The spelling of 33013053 in words is "thirty-three million, thirteen thousand, fifty-three".