34531205617 has 2 divisors, whose sum is σ = 34531205618. Its totient is φ = 34531205616.

The previous prime is 34531205603. The next prime is 34531205669. The reversal of 34531205617 is 71650213543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34136627121 + 394578496 = 184761^2 + 19864^2 .

It is an emirp because it is prime and its reverse (71650213543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34531205617 - 2¹¹ = 34531203569 is a prime.

It is a super-2 number, since 2×34531205617² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34531200617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17265602808 + 17265602809.

It is an arithmetic number, because the mean of its divisors is an integer number (17265602809).

Almost surely, 2^34531205617 is an apocalyptic number.

It is an amenable number.

34531205617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34531205617 is an equidigital number, since it uses as much as digits as its factorization.

34531205617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 34531205617 in words is "thirty-four billion, five hundred thirty-one million, two hundred five thousand, six hundred seventeen".