34566522201217 has 2 divisors, whose sum is σ = 34566522201218. Its totient is φ = 34566522201216.

The previous prime is 34566522201193. The next prime is 34566522201223. The reversal of 34566522201217 is 71210222566543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34531418806336 + 35103394881 = 5876344^2 + 187359^2 .

It is an emirp because it is prime and its reverse (71210222566543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34566522201217 - 2⁴³ = 25770429179009 is a prime.

It is not a weakly prime, because it can be changed into another prime (34566522201317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17283261100608 + 17283261100609.

It is an arithmetic number, because the mean of its divisors is an integer number (17283261100609).

Almost surely, 2^{34566522201217} is an apocalyptic number.

It is an amenable number.

34566522201217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34566522201217 is an equidigital number, since it uses as much as digits as its factorization.

34566522201217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 34566522201217 in words is "thirty-four trillion, five hundred sixty-six billion, five hundred twenty-two million, two hundred one thousand, two hundred seventeen".