82210382074757 has 2 divisors, whose sum is σ = 82210382074758. Its totient is φ = 82210382074756.

The previous prime is 82210382074729. The next prime is 82210382074763. The reversal of 82210382074757 is 75747028301228.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81150802123876 + 1059579950881 = 9008374^2 + 1029359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82210382074757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82210382074357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41105191037378 + 41105191037379.

It is an arithmetic number, because the mean of its divisors is an integer number (41105191037379).

Almost surely, 2^{82210382074757} is an apocalyptic number.

It is an amenable number.

82210382074757 is a deficient number, since it is larger than the sum of its proper divisors (1).

82210382074757 is an equidigital number, since it uses as much as digits as its factorization.

82210382074757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10536960, while the sum is 56.

The spelling of 82210382074757 in words is "eighty-two trillion, two hundred ten billion, three hundred eighty-two million, seventy-four thousand, seven hundred fifty-seven".