33829375772011 has 2 divisors, whose sum is σ = 33829375772012. Its totient is φ = 33829375772010.

The previous prime is 33829375772009. The next prime is 33829375772077. The reversal of 33829375772011 is 11027757392833.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33829375772011 - 2¹ = 33829375772009 is a prime.

It is a super-2 number, since 2×33829375772011² (a number of 28 digits) contains 22 as substring.

Together with 33829375772009, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33829375772911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16914687886005 + 16914687886006.

It is an arithmetic number, because the mean of its divisors is an integer number (16914687886006).

Almost surely, 2^{33829375772011} is an apocalyptic number.

33829375772011 is a deficient number, since it is larger than the sum of its proper divisors (1).

33829375772011 is an equidigital number, since it uses as much as digits as its factorization.

33829375772011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13335840, while the sum is 58.

The spelling of 33829375772011 in words is "thirty-three trillion, eight hundred twenty-nine billion, three hundred seventy-five million, seven hundred seventy-two thousand, eleven".