34315331304017 has 2 divisors, whose sum is σ = 34315331304018. Its totient is φ = 34315331304016.

The previous prime is 34315331303767. The next prime is 34315331304031. The reversal of 34315331304017 is 71040313351343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32408609436736 + 1906721867281 = 5692856^2 + 1380841^2 .

It is a cyclic number.

It is not a de Polignac number, because 34315331304017 - 2²⁰ = 34315330255441 is a prime.

It is not a weakly prime, because it can be changed into another prime (34315331307017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17157665652008 + 17157665652009.

It is an arithmetic number, because the mean of its divisors is an integer number (17157665652009).

Almost surely, 2^{34315331304017} is an apocalyptic number.

It is an amenable number.

34315331304017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34315331304017 is an equidigital number, since it uses as much as digits as its factorization.

34315331304017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 34315331304017 in words is "thirty-four trillion, three hundred fifteen billion, three hundred thirty-one million, three hundred four thousand, seventeen".