82287810074201 has 2 divisors, whose sum is σ = 82287810074202. Its totient is φ = 82287810074200.

The previous prime is 82287810074191. The next prime is 82287810074287. The reversal of 82287810074201 is 10247001878228.

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., 58172639155801 + 24115170918400 = 7627099^2 + 4910720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82287810074201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82287810074201.

It is not a weakly prime, because it can be changed into another prime (82287810074291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41143905037100 + 41143905037101.

It is an arithmetic number, because the mean of its divisors is an integer number (41143905037101).

Almost surely, 2^{82287810074201} is an apocalyptic number.

It is an amenable number.

82287810074201 is a deficient number, since it is larger than the sum of its proper divisors (1).

82287810074201 is an equidigital number, since it uses as much as digits as its factorization.

82287810074201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 802816, while the sum is 50.

The spelling of 82287810074201 in words is "eighty-two trillion, two hundred eighty-seven billion, eight hundred ten million, seventy-four thousand, two hundred one".