34081567517 has 2 divisors, whose sum is σ = 34081567518. Its totient is φ = 34081567516.

The previous prime is 34081567501. The next prime is 34081567519. The reversal of 34081567517 is 71576518043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33848272441 + 233295076 = 183979^2 + 15274^2 .

It is a cyclic number.

It is not a de Polignac number, because 34081567517 - 2⁴ = 34081567501 is a prime.

Together with 34081567519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34081567519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17040783758 + 17040783759.

It is an arithmetic number, because the mean of its divisors is an integer number (17040783759).

Almost surely, 2^34081567517 is an apocalyptic number.

It is an amenable number.

34081567517 is a deficient number, since it is larger than the sum of its proper divisors (1).

34081567517 is an equidigital number, since it uses as much as digits as its factorization.

34081567517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 34081567517 in words is "thirty-four billion, eighty-one million, five hundred sixty-seven thousand, five hundred seventeen".