2175061221217 has 2 divisors, whose sum is σ = 2175061221218. Its totient is φ = 2175061221216.

The previous prime is 2175061221199. The next prime is 2175061221271. The reversal of 2175061221217 is 7121221605712.

Together with next prime (2175061221271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1350904096656 + 824157124561 = 1162284^2 + 907831^2 .

It is a cyclic number.

It is not a de Polignac number, because 2175061221217 - 2¹¹ = 2175061219169 is a prime.

It is a super-2 number, since 2×2175061221217² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2175061221287) 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, 1087530610608 + 1087530610609.

It is an arithmetic number, because the mean of its divisors is an integer number (1087530610609).

Almost surely, 2^{2175061221217} is an apocalyptic number.

It is an amenable number.

2175061221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2175061221217 is an equidigital number, since it uses as much as digits as its factorization.

2175061221217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

Adding to 2175061221217 its reverse (7121221605712), we get a palindrome (9296282826929).

The spelling of 2175061221217 in words is "two trillion, one hundred seventy-five billion, sixty-one million, two hundred twenty-one thousand, two hundred seventeen".