34065641257 has 2 divisors, whose sum is σ = 34065641258. Its totient is φ = 34065641256.

The previous prime is 34065641231. The next prime is 34065641261. The reversal of 34065641257 is 75214656043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24691722496 + 9373918761 = 157136^2 + 96819^2 .

It is a cyclic number.

It is not a de Polignac number, because 34065641257 - 2²⁷ = 33931423529 is a prime.

It is not a weakly prime, because it can be changed into another prime (34065641227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17032820628 + 17032820629.

It is an arithmetic number, because the mean of its divisors is an integer number (17032820629).

Almost surely, 2^34065641257 is an apocalyptic number.

It is an amenable number.

34065641257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34065641257 is an equidigital number, since it uses as much as digits as its factorization.

34065641257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 34065641257 in words is "thirty-four billion, sixty-five million, six hundred forty-one thousand, two hundred fifty-seven".