4226765121217 has 2 divisors, whose sum is σ = 4226765121218. Its totient is φ = 4226765121216.

The previous prime is 4226765121203. The next prime is 4226765121239. The reversal of 4226765121217 is 7121215676224.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2402512400016 + 1824252721201 = 1550004^2 + 1350649^2 .

It is a cyclic number.

It is not a de Polignac number, because 4226765121217 - 2²⁷ = 4226630903489 is a prime.

It is a super-2 number, since 2×4226765121217² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4226765121277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2113382560608 + 2113382560609.

It is an arithmetic number, because the mean of its divisors is an integer number (2113382560609).

Almost surely, 2^{4226765121217} is an apocalyptic number.

It is an amenable number.

4226765121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4226765121217 is an equidigital number, since it uses as much as digits as its factorization.

4226765121217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 564480, while the sum is 46.

The spelling of 4226765121217 in words is "four trillion, two hundred twenty-six billion, seven hundred sixty-five million, one hundred twenty-one thousand, two hundred seventeen".