33829138513 has 2 divisors, whose sum is σ = 33829138514. Its totient is φ = 33829138512.

The previous prime is 33829138471. The next prime is 33829138573. The reversal of 33829138513 is 31583192833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33398659009 + 430479504 = 182753^2 + 20748^2 .

It is a cyclic number.

It is not a de Polignac number, because 33829138513 - 2²⁹ = 33292267601 is a prime.

It is a super-2 number, since 2×33829138513² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33829138573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16914569256 + 16914569257.

It is an arithmetic number, because the mean of its divisors is an integer number (16914569257).

Almost surely, 2^33829138513 is an apocalyptic number.

It is an amenable number.

33829138513 is a deficient number, since it is larger than the sum of its proper divisors (1).

33829138513 is an equidigital number, since it uses as much as digits as its factorization.

33829138513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 466560, while the sum is 46.

The spelling of 33829138513 in words is "thirty-three billion, eight hundred twenty-nine million, one hundred thirty-eight thousand, five hundred thirteen".