34056461404517 has 2 divisors, whose sum is σ = 34056461404518. Its totient is φ = 34056461404516.

The previous prime is 34056461404421. The next prime is 34056461404531. The reversal of 34056461404517 is 71540416465043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20903174856001 + 13153286548516 = 4571999^2 + 3626746^2 .

It is an emirp because it is prime and its reverse (71540416465043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34056461404517 - 2¹⁶ = 34056461338981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34056461404817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17028230702258 + 17028230702259.

It is an arithmetic number, because the mean of its divisors is an integer number (17028230702259).

Almost surely, 2^{34056461404517} is an apocalyptic number.

It is an amenable number.

34056461404517 is a deficient number, since it is larger than the sum of its proper divisors (1).

34056461404517 is an equidigital number, since it uses as much as digits as its factorization.

34056461404517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4838400, while the sum is 50.

The spelling of 34056461404517 in words is "thirty-four trillion, fifty-six billion, four hundred sixty-one million, four hundred four thousand, five hundred seventeen".