82513202117 has 2 divisors, whose sum is σ = 82513202118. Its totient is φ = 82513202116.

The previous prime is 82513202077. The next prime is 82513202153. The reversal of 82513202117 is 71120231528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56181324676 + 26331877441 = 237026^2 + 162271^2 .

It is a cyclic number.

It is not a de Polignac number, because 82513202117 - 2⁶ = 82513202053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82513201117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41256601058 + 41256601059.

It is an arithmetic number, because the mean of its divisors is an integer number (41256601059).

Almost surely, 2^82513202117 is an apocalyptic number.

It is an amenable number.

82513202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

82513202117 is an equidigital number, since it uses as much as digits as its factorization.

82513202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 82513202117 in words is "eighty-two billion, five hundred thirteen million, two hundred two thousand, one hundred seventeen".