82963138127 has 2 divisors, whose sum is σ = 82963138128. Its totient is φ = 82963138126.

The previous prime is 82963138061. The next prime is 82963138129. The reversal of 82963138127 is 72183136928.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82963138127 - 2¹⁴ = 82963121743 is a prime.

Together with 82963138129, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82963138129) 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, 41481569063 + 41481569064.

It is an arithmetic number, because the mean of its divisors is an integer number (41481569064).

Almost surely, 2^82963138127 is an apocalyptic number.

82963138127 is a deficient number, since it is larger than the sum of its proper divisors (1).

82963138127 is an equidigital number, since it uses as much as digits as its factorization.

82963138127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 50.

The spelling of 82963138127 in words is "eighty-two billion, nine hundred sixty-three million, one hundred thirty-eight thousand, one hundred twenty-seven".