33005052 has 72 divisors (see below), whose sum is σ = 89158160. Its totient is φ = 10264320.

The previous prime is 33005051. The next prime is 33005053. The reversal of 33005052 is 25050033.

It is an interprime number because it is at equal distance from previous prime (33005051) and next prime (33005053).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33005051) 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 23 ways as a sum of consecutive naturals, for example, 49602 + ... + 50262.

Almost surely, 2^33005052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33005052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579080).

33005052 is an abundant number, since it is smaller than the sum of its proper divisors (56153108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33005052 is a wasteful number, since it uses less digits than its factorization.

33005052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 33005052 is about 5745.0023498690. The cubic root of 33005052 is about 320.7698003093.

Adding to 33005052 its reverse (25050033), we get a palindrome (58055085).

The spelling of 33005052 in words is "thirty-three million, five thousand, fifty-two".