34937567937313 has 2 divisors, whose sum is σ = 34937567937314. Its totient is φ = 34937567937312.

The previous prime is 34937567937289. The next prime is 34937567937347. The reversal of 34937567937313 is 31373976573943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20479679600704 + 14457888336609 = 4525448^2 + 3802353^2 .

It is a cyclic number.

It is not a de Polignac number, because 34937567937313 - 2⁵ = 34937567937281 is a prime.

It is a super-2 number, since 2×34937567937313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34937567937383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17468783968656 + 17468783968657.

It is an arithmetic number, because the mean of its divisors is an integer number (17468783968657).

Almost surely, 2^{34937567937313} is an apocalyptic number.

It is an amenable number.

34937567937313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34937567937313 is an equidigital number, since it uses as much as digits as its factorization.

34937567937313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810152280, while the sum is 70.

The spelling of 34937567937313 in words is "thirty-four trillion, nine hundred thirty-seven billion, five hundred sixty-seven million, nine hundred thirty-seven thousand, three hundred thirteen".