82627918129 has 2 divisors, whose sum is σ = 82627918130. Its totient is φ = 82627918128.

The previous prime is 82627918127. The next prime is 82627918147. The reversal of 82627918129 is 92181972628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81423481104 + 1204437025 = 285348^2 + 34705^2 .

It is a cyclic number.

It is not a de Polignac number, because 82627918129 - 2¹ = 82627918127 is a prime.

Together with 82627918127, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 82627918129.

It is not a weakly prime, because it can be changed into another prime (82627918123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41313959064 + 41313959065.

It is an arithmetic number, because the mean of its divisors is an integer number (41313959065).

Almost surely, 2^82627918129 is an apocalyptic number.

It is an amenable number.

82627918129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82627918129 is an equidigital number, since it uses as much as digits as its factorization.

82627918129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1741824, while the sum is 55.

The spelling of 82627918129 in words is "eighty-two billion, six hundred twenty-seven million, nine hundred eighteen thousand, one hundred twenty-nine".