82080259570427 has 2 divisors, whose sum is σ = 82080259570428. Its totient is φ = 82080259570426.

The previous prime is 82080259570399. The next prime is 82080259570429. The reversal of 82080259570427 is 72407595208028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82080259570427 - 2¹⁴ = 82080259554043 is a prime.

It is a super-3 number, since 3×82080259570427³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 82080259570429, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82080259570429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41040129785213 + 41040129785214.

It is an arithmetic number, because the mean of its divisors is an integer number (41040129785214).

Almost surely, 2^{82080259570427} is an apocalyptic number.

82080259570427 is a deficient number, since it is larger than the sum of its proper divisors (1).

82080259570427 is an equidigital number, since it uses as much as digits as its factorization.

82080259570427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22579200, while the sum is 59.

The spelling of 82080259570427 in words is "eighty-two trillion, eighty billion, two hundred fifty-nine million, five hundred seventy thousand, four hundred twenty-seven".