83080208252593 has 2 divisors, whose sum is σ = 83080208252594. Its totient is φ = 83080208252592.

The previous prime is 83080208252567. The next prime is 83080208252617. The reversal of 83080208252593 is 39525280208038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77687442146304 + 5392766106289 = 8814048^2 + 2322233^2 .

It is a cyclic number.

It is not a de Polignac number, because 83080208252593 - 2⁹ = 83080208252081 is a prime.

It is not a weakly prime, because it can be changed into another prime (83080208252563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41540104126296 + 41540104126297.

It is an arithmetic number, because the mean of its divisors is an integer number (41540104126297).

Almost surely, 2^{83080208252593} is an apocalyptic number.

It is an amenable number.

83080208252593 is a deficient number, since it is larger than the sum of its proper divisors (1).

83080208252593 is an equidigital number, since it uses as much as digits as its factorization.

83080208252593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 83080208252593 in words is "eighty-three trillion, eighty billion, two hundred eight million, two hundred fifty-two thousand, five hundred ninety-three".