34134201089 has 2 divisors, whose sum is σ = 34134201090. Its totient is φ = 34134201088.

The previous prime is 34134200993. The next prime is 34134201097. The reversal of 34134201089 is 98010243143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21898080400 + 12236120689 = 147980^2 + 110617^2 .

It is a cyclic number.

It is not a de Polignac number, because 34134201089 - 2²⁰ = 34133152513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34134201589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067100544 + 17067100545.

It is an arithmetic number, because the mean of its divisors is an integer number (17067100545).

Almost surely, 2^34134201089 is an apocalyptic number.

It is an amenable number.

34134201089 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134201089 is an equidigital number, since it uses as much as digits as its factorization.

34134201089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 34134201089 in words is "thirty-four billion, one hundred thirty-four million, two hundred one thousand, eighty-nine".