34040516317 has 2 divisors, whose sum is σ = 34040516318. Its totient is φ = 34040516316.

The previous prime is 34040516273. The next prime is 34040516351. The reversal of 34040516317 is 71361504043.

It is an a-pointer prime, because the next prime (34040516351) can be obtained adding 34040516317 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34036929081 + 3587236 = 184491^2 + 1894^2 .

It is a cyclic number.

It is not a de Polignac number, because 34040516317 - 2³¹ = 31893032669 is a prime.

It is a super-2 number, since 2×34040516317² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34040516357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020258158 + 17020258159.

It is an arithmetic number, because the mean of its divisors is an integer number (17020258159).

Almost surely, 2^34040516317 is an apocalyptic number.

It is an amenable number.

34040516317 is a deficient number, since it is larger than the sum of its proper divisors (1).

34040516317 is an equidigital number, since it uses as much as digits as its factorization.

34040516317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 34040516317 in words is "thirty-four billion, forty million, five hundred sixteen thousand, three hundred seventeen".