34590953196517 has 2 divisors, whose sum is σ = 34590953196518. Its totient is φ = 34590953196516.

The previous prime is 34590953196383. The next prime is 34590953196533. The reversal of 34590953196517 is 71569135909543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34487031424356 + 103921772161 = 5872566^2 + 322369^2 .

It is an emirp because it is prime and its reverse (71569135909543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34590953196517 - 2³¹ = 34588805712869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34590953196587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17295476598258 + 17295476598259.

It is an arithmetic number, because the mean of its divisors is an integer number (17295476598259).

Almost surely, 2^{34590953196517} is an apocalyptic number.

It is an amenable number.

34590953196517 is a deficient number, since it is larger than the sum of its proper divisors (1).

34590953196517 is an equidigital number, since it uses as much as digits as its factorization.

34590953196517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 137781000, while the sum is 67.

The spelling of 34590953196517 in words is "thirty-four trillion, five hundred ninety billion, nine hundred fifty-three million, one hundred ninety-six thousand, five hundred seventeen".