83085352779089 has 2 divisors, whose sum is σ = 83085352779090. Its totient is φ = 83085352779088.

The previous prime is 83085352779067. The next prime is 83085352779103. The reversal of 83085352779089 is 98097725358038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82436103601489 + 649249177600 = 9079433^2 + 805760^2 .

It is a cyclic number.

It is not a de Polignac number, because 83085352779089 - 2⁸ = 83085352778833 is a prime.

It is not a weakly prime, because it can be changed into another prime (83085352779049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41542676389544 + 41542676389545.

It is an arithmetic number, because the mean of its divisors is an integer number (41542676389545).

Almost surely, 2^{83085352779089} is an apocalyptic number.

It is an amenable number.

83085352779089 is a deficient number, since it is larger than the sum of its proper divisors (1).

83085352779089 is an equidigital number, since it uses as much as digits as its factorization.

83085352779089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 914457600, while the sum is 74.

The spelling of 83085352779089 in words is "eighty-three trillion, eighty-five billion, three hundred fifty-two million, seven hundred seventy-nine thousand, eighty-nine".