33057475033 has 72 divisors (see below), whose sum is σ = 39695201280. Its totient is φ = 27492696000.

The previous prime is 33057475021. The next prime is 33057475049.

33057475033 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-33057475033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33057475063) 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 71 ways as a sum of consecutive naturals, for example, 260295016 + ... + 260295142.

It is an arithmetic number, because the mean of its divisors is an integer number (551322240).

Almost surely, 2^33057475033 is an apocalyptic number.

It is an amenable number.

33057475033 is a deficient number, since it is larger than the sum of its proper divisors (6637726247).

33057475033 is a wasteful number, since it uses less digits than its factorization.

33057475033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 40.

The spelling of 33057475033 in words is "thirty-three billion, fifty-seven million, four hundred seventy-five thousand, thirty-three".