82225081311193 has 2 divisors, whose sum is σ = 82225081311194. Its totient is φ = 82225081311192.

The previous prime is 82225081311143. The next prime is 82225081311221. The reversal of 82225081311193 is 39111318052228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65935244482704 + 16289836828489 = 8120052^2 + 4036067^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82225081311193 is a prime.

It is not a weakly prime, because it can be changed into another prime (82225081311143) 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, 41112540655596 + 41112540655597.

It is an arithmetic number, because the mean of its divisors is an integer number (41112540655597).

Almost surely, 2^{82225081311193} is an apocalyptic number.

It is an amenable number.

82225081311193 is a deficient number, since it is larger than the sum of its proper divisors (1).

82225081311193 is an equidigital number, since it uses as much as digits as its factorization.

82225081311193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 82225081311193 in words is "eighty-two trillion, two hundred twenty-five billion, eighty-one million, three hundred eleven thousand, one hundred ninety-three".