34135234657 has 2 divisors, whose sum is σ = 34135234658. Its totient is φ = 34135234656.

The previous prime is 34135234597. The next prime is 34135234669. The reversal of 34135234657 is 75643253143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33736872976 + 398361681 = 183676^2 + 19959^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135234657 - 2²³ = 34126846049 is a prime.

It is not a weakly prime, because it can be changed into another prime (34135234157) 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, 17067617328 + 17067617329.

It is an arithmetic number, because the mean of its divisors is an integer number (17067617329).

Almost surely, 2^34135234657 is an apocalyptic number.

It is an amenable number.

34135234657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135234657 is an equidigital number, since it uses as much as digits as its factorization.

34135234657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907200, while the sum is 43.

The spelling of 34135234657 in words is "thirty-four billion, one hundred thirty-five million, two hundred thirty-four thousand, six hundred fifty-seven".