2225089585217 has 2 divisors, whose sum is σ = 2225089585218. Its totient is φ = 2225089585216.

The previous prime is 2225089585123. The next prime is 2225089585219. The reversal of 2225089585217 is 7125859805222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2167796854336 + 57292730881 = 1472344^2 + 239359^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225089585217 - 2⁸ = 2225089584961 is a prime.

It is a super-2 number, since 2×2225089585217² (a number of 25 digits) contains 22 as substring.

Together with 2225089585219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2225089585219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112544792608 + 1112544792609.

It is an arithmetic number, because the mean of its divisors is an integer number (1112544792609).

Almost surely, 2^{2225089585217} is an apocalyptic number.

It is an amenable number.

2225089585217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225089585217 is an equidigital number, since it uses as much as digits as its factorization.

2225089585217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064000, while the sum is 56.

The spelling of 2225089585217 in words is "two trillion, two hundred twenty-five billion, eighty-nine million, five hundred eighty-five thousand, two hundred seventeen".