33872826033 has 6 divisors (see below), whose sum is σ = 48927415394. Its totient is φ = 22581884016.

The previous prime is 33872826011. The next prime is 33872826109. The reversal of 33872826033 is 33062827833.

33872826033 is a `hidden beast` number, since 3 + 38 + 7 + 2 + 8 + 2 + 603 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33867777024 + 5049009 = 184032^2 + 2247^2 .

It is not a de Polignac number, because 33872826033 - 2¹⁶ = 33872760497 is a prime.

It is a super-2 number, since 2×33872826033² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33872826033.

It is not an unprimeable number, because it can be changed into a prime (33872821033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1881823660 + ... + 1881823677.

Almost surely, 2^33872826033 is an apocalyptic number.

It is an amenable number.

33872826033 is a deficient number, since it is larger than the sum of its proper divisors (15054589361).

33872826033 is a wasteful number, since it uses less digits than its factorization.

33872826033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763647343 (or 3763647340 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 33872826033 in words is "thirty-three billion, eight hundred seventy-two million, eight hundred twenty-six thousand, thirty-three".