81882120329 has 2 divisors, whose sum is σ = 81882120330. Its totient is φ = 81882120328.

The previous prime is 81882120311. The next prime is 81882120343. The reversal of 81882120329 is 92302128818.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60601145929 + 21280974400 = 246173^2 + 145880^2 .

It is a cyclic number.

It is not a de Polignac number, because 81882120329 - 2¹² = 81882116233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81882120329.

It is not a weakly prime, because it can be changed into another prime (81882120349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40941060164 + 40941060165.

It is an arithmetic number, because the mean of its divisors is an integer number (40941060165).

Almost surely, 2^81882120329 is an apocalyptic number.

It is an amenable number.

81882120329 is a deficient number, since it is larger than the sum of its proper divisors (1).

81882120329 is an equidigital number, since it uses as much as digits as its factorization.

81882120329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 44.

The spelling of 81882120329 in words is "eighty-one billion, eight hundred eighty-two million, one hundred twenty thousand, three hundred twenty-nine".