83080208253617 has 2 divisors, whose sum is σ = 83080208253618. Its totient is φ = 83080208253616.

The previous prime is 83080208253589. The next prime is 83080208253841. The reversal of 83080208253617 is 71635280208038.

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., 75412620193936 + 7667588059681 = 8684044^2 + 2769041^2 .

It is a cyclic number.

It is not a de Polignac number, because 83080208253617 - 2¹⁰ = 83080208252593 is a prime.

It is not a weakly prime, because it can be changed into another prime (83080208253517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41540104126808 + 41540104126809.

It is an arithmetic number, because the mean of its divisors is an integer number (41540104126809).

Almost surely, 2^{83080208253617} is an apocalyptic number.

It is an amenable number.

83080208253617 is a deficient number, since it is larger than the sum of its proper divisors (1).

83080208253617 is an equidigital number, since it uses as much as digits as its factorization.

83080208253617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 83080208253617 in words is "eighty-three trillion, eighty billion, two hundred eight million, two hundred fifty-three thousand, six hundred seventeen".