33054322129 has 2 divisors, whose sum is σ = 33054322130. Its totient is φ = 33054322128.

The previous prime is 33054322127. The next prime is 33054322153. The reversal of 33054322129 is 92122345033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19359939600 + 13694382529 = 139140^2 + 117023^2 .

It is a cyclic number.

It is not a de Polignac number, because 33054322129 - 2¹ = 33054322127 is a prime.

It is a super-2 number, since 2×33054322129² (a number of 22 digits) contains 22 as substring.

Together with 33054322127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33054322094 and 33054322103.

It is not a weakly prime, because it can be changed into another prime (33054322127) 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, 16527161064 + 16527161065.

It is an arithmetic number, because the mean of its divisors is an integer number (16527161065).

Almost surely, 2^33054322129 is an apocalyptic number.

It is an amenable number.

33054322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33054322129 is an equidigital number, since it uses as much as digits as its factorization.

33054322129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 33054322129 in words is "thirty-three billion, fifty-four million, three hundred twenty-two thousand, one hundred twenty-nine".