82505720503081 has 2 divisors, whose sum is σ = 82505720503082. Its totient is φ = 82505720503080.

The previous prime is 82505720503039. The next prime is 82505720503091. The reversal of 82505720503081 is 18030502750528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71031858241600 + 11473862261481 = 8428040^2 + 3387309^2 .

It is a cyclic number.

It is not a de Polignac number, because 82505720503081 - 2⁴¹ = 80306697247529 is a prime.

It is a super-2 number, since 2×82505720503081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82505720503091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41252860251540 + 41252860251541.

It is an arithmetic number, because the mean of its divisors is an integer number (41252860251541).

Almost surely, 2^{82505720503081} is an apocalyptic number.

It is an amenable number.

82505720503081 is a deficient number, since it is larger than the sum of its proper divisors (1).

82505720503081 is an equidigital number, since it uses as much as digits as its factorization.

82505720503081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 82505720503081 in words is "eighty-two trillion, five hundred five billion, seven hundred twenty million, five hundred three thousand, eighty-one".