82681335266567 has 2 divisors, whose sum is σ = 82681335266568. Its totient is φ = 82681335266566.

The previous prime is 82681335266533. The next prime is 82681335266581. The reversal of 82681335266567 is 76566253318628.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82681335266567 - 2¹⁴ = 82681335250183 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82681335266497 and 82681335266506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82681335266867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41340667633283 + 41340667633284.

It is an arithmetic number, because the mean of its divisors is an integer number (41340667633284).

Almost surely, 2^{82681335266567} is an apocalyptic number.

82681335266567 is a deficient number, since it is larger than the sum of its proper divisors (1).

82681335266567 is an equidigital number, since it uses as much as digits as its factorization.

82681335266567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 522547200, while the sum is 68.

The spelling of 82681335266567 in words is "eighty-two trillion, six hundred eighty-one billion, three hundred thirty-five million, two hundred sixty-six thousand, five hundred sixty-seven".