82690037193193 has 2 divisors, whose sum is σ = 82690037193194. Its totient is φ = 82690037193192.

The previous prime is 82690037193149. The next prime is 82690037193227. The reversal of 82690037193193 is 39139173009628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81504928448064 + 1185108745129 = 9028008^2 + 1088627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82690037193193 is a prime.

It is not a weakly prime, because it can be changed into another prime (82690037193103) 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, 41345018596596 + 41345018596597.

It is an arithmetic number, because the mean of its divisors is an integer number (41345018596597).

Almost surely, 2^{82690037193193} is an apocalyptic number.

It is an amenable number.

82690037193193 is a deficient number, since it is larger than the sum of its proper divisors (1).

82690037193193 is an equidigital number, since it uses as much as digits as its factorization.

82690037193193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13226976, while the sum is 61.

The spelling of 82690037193193 in words is "eighty-two trillion, six hundred ninety billion, thirty-seven million, one hundred ninety-three thousand, one hundred ninety-three".