33824758133 has 2 divisors, whose sum is σ = 33824758134. Its totient is φ = 33824758132.

The previous prime is 33824758103. The next prime is 33824758139. The reversal of 33824758133 is 33185742833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25235546449 + 8589211684 = 158857^2 + 92678^2 .

It is an emirp because it is prime and its reverse (33185742833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33824758133 - 2⁸ = 33824757877 is a prime.

It is a super-2 number, since 2×33824758133² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33824758139) 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, 16912379066 + 16912379067.

It is an arithmetic number, because the mean of its divisors is an integer number (16912379067).

Almost surely, 2^33824758133 is an apocalyptic number.

It is an amenable number.

33824758133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33824758133 is an equidigital number, since it uses as much as digits as its factorization.

33824758133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451520, while the sum is 47.

The spelling of 33824758133 in words is "thirty-three billion, eight hundred twenty-four million, seven hundred fifty-eight thousand, one hundred thirty-three".