2065457014417 has 2 divisors, whose sum is σ = 2065457014418. Its totient is φ = 2065457014416.

The previous prime is 2065457014351. The next prime is 2065457014427. The reversal of 2065457014417 is 7144107545602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2012755088656 + 52701925761 = 1418716^2 + 229569^2 .

It is a cyclic number.

It is not a de Polignac number, because 2065457014417 - 2⁷ = 2065457014289 is a prime.

It is a super-2 number, since 2×2065457014417² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2065457014427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1032728507208 + 1032728507209.

It is an arithmetic number, because the mean of its divisors is an integer number (1032728507209).

Almost surely, 2^{2065457014417} is an apocalyptic number.

It is an amenable number.

2065457014417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2065457014417 is an equidigital number, since it uses as much as digits as its factorization.

2065457014417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 2065457014417 in words is "two trillion, sixty-five billion, four hundred fifty-seven million, fourteen thousand, four hundred seventeen".