2065418081329 has 2 divisors, whose sum is σ = 2065418081330. Its totient is φ = 2065418081328.

The previous prime is 2065418081269. The next prime is 2065418081339. The reversal of 2065418081329 is 9231808145602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1060107048225 + 1005311033104 = 1029615^2 + 1002652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2065418081329 - 2¹⁷ = 2065417950257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2065418081339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1032709040664 + 1032709040665.

It is an arithmetic number, because the mean of its divisors is an integer number (1032709040665).

Almost surely, 2^{2065418081329} is an apocalyptic number.

It is an amenable number.

2065418081329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2065418081329 is an equidigital number, since it uses as much as digits as its factorization.

2065418081329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 2065418081329 in words is "two trillion, sixty-five billion, four hundred eighteen million, eighty-one thousand, three hundred twenty-nine".