217512115512617 has 2 divisors, whose sum is σ = 217512115512618. Its totient is φ = 217512115512616.

The previous prime is 217512115512521. The next prime is 217512115512733. The reversal of 217512115512617 is 716215511215712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119238122783641 + 98273992728976 = 10919621^2 + 9913324^2 .

It is a cyclic number.

It is not a de Polignac number, because 217512115512617 - 2⁸ = 217512115512361 is a prime.

It is not a weakly prime, because it can be changed into another prime (217512115512017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108756057756308 + 108756057756309.

It is an arithmetic number, because the mean of its divisors is an integer number (108756057756309).

Almost surely, 2^{217512115512617} is an apocalyptic number.

It is an amenable number.

217512115512617 is a deficient number, since it is larger than the sum of its proper divisors (1).

217512115512617 is an equidigital number, since it uses as much as digits as its factorization.

217512115512617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294000, while the sum is 47.

The spelling of 217512115512617 in words is "two hundred seventeen trillion, five hundred twelve billion, one hundred fifteen million, five hundred twelve thousand, six hundred seventeen".