33876872033 has 2 divisors, whose sum is σ = 33876872034. Its totient is φ = 33876872032.

The previous prime is 33876872023. The next prime is 33876872083. The reversal of 33876872033 is 33027867833.

It is a happy number.

It is an a-pointer prime, because the next prime (33876872083) can be obtained adding 33876872033 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26475194944 + 7401677089 = 162712^2 + 86033^2 .

It is a cyclic number.

It is not a de Polignac number, because 33876872033 - 2²⁴ = 33860094817 is a prime.

It is a super-2 number, since 2×33876872033² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33876872023) 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 as a sum of consecutive naturals, namely, 16938436016 + 16938436017.

It is an arithmetic number, because the mean of its divisors is an integer number (16938436017).

Almost surely, 2^33876872033 is an apocalyptic number.

It is an amenable number.

33876872033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33876872033 is an equidigital number, since it uses as much as digits as its factorization.

33876872033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 50.

The spelling of 33876872033 in words is "thirty-three billion, eight hundred seventy-six million, eight hundred seventy-two thousand, thirty-three".