33829138573 has 2 divisors, whose sum is σ = 33829138574. Its totient is φ = 33829138572.

The previous prime is 33829138513. The next prime is 33829138583. The reversal of 33829138573 is 37583192833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30871192804 + 2957945769 = 175702^2 + 54387^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33829138573 is a prime.

It is a super-2 number, since 2×33829138573² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33829138573.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33829138513) 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, 16914569286 + 16914569287.

It is an arithmetic number, because the mean of its divisors is an integer number (16914569287).

Almost surely, 2^33829138573 is an apocalyptic number.

It is an amenable number.

33829138573 is a deficient number, since it is larger than the sum of its proper divisors (1).

33829138573 is an equidigital number, since it uses as much as digits as its factorization.

33829138573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3265920, while the sum is 52.

The spelling of 33829138573 in words is "thirty-three billion, eight hundred twenty-nine million, one hundred thirty-eight thousand, five hundred seventy-three".