33945121291 has 2 divisors, whose sum is σ = 33945121292. Its totient is φ = 33945121290.

The previous prime is 33945121261. The next prime is 33945121313. The reversal of 33945121291 is 19212154933.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33945121291 - 2²⁵ = 33911566859 is a prime.

It is not a weakly prime, because it can be changed into another prime (33945121261) 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 as a sum of consecutive naturals, namely, 16972560645 + 16972560646.

It is an arithmetic number, because the mean of its divisors is an integer number (16972560646).

Almost surely, 2^33945121291 is an apocalyptic number.

33945121291 is a deficient number, since it is larger than the sum of its proper divisors (1).

33945121291 is an equidigital number, since it uses as much as digits as its factorization.

33945121291 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58320, while the sum is 40.

It can be divided in two parts, 33945 and 121291, that added together give a square (155236 = 394²).

The spelling of 33945121291 in words is "thirty-three billion, nine hundred forty-five million, one hundred twenty-one thousand, two hundred ninety-one".