82667835834313 has 2 divisors, whose sum is σ = 82667835834314. Its totient is φ = 82667835834312.

The previous prime is 82667835834193. The next prime is 82667835834371. The reversal of 82667835834313 is 31343853876628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52523255827849 + 30144580006464 = 7247293^2 + 5490408^2 .

It is a cyclic number.

It is not a de Polignac number, because 82667835834313 - 2⁹ = 82667835833801 is a prime.

It is not a weakly prime, because it can be changed into another prime (82667835834713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41333917917156 + 41333917917157.

It is an arithmetic number, because the mean of its divisors is an integer number (41333917917157).

Almost surely, 2^{82667835834313} is an apocalyptic number.

It is an amenable number.

82667835834313 is a deficient number, since it is larger than the sum of its proper divisors (1).

82667835834313 is an equidigital number, since it uses as much as digits as its factorization.

82667835834313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 418037760, while the sum is 67.

The spelling of 82667835834313 in words is "eighty-two trillion, six hundred sixty-seven billion, eight hundred thirty-five million, eight hundred thirty-four thousand, three hundred thirteen".