811382129 has 2 divisors, whose sum is σ = 811382130. Its totient is φ = 811382128.

The previous prime is 811382083. The next prime is 811382147. The reversal of 811382129 is 921283118.

811382129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 474586225 + 336795904 = 21785^2 + 18352^2 .

It is a cyclic number.

It is not a de Polignac number, because 811382129 - 2⁸ = 811381873 is a prime.

It is equal to p_41701589 and since 811382129 and 41701589 have the same sum of digits, it is a Honaker prime.

It is a weakly prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405691064 + 405691065.

It is an arithmetic number, because the mean of its divisors is an integer number (405691065).

Almost surely, 2^811382129 is an apocalyptic number.

It is an amenable number.

811382129 is a deficient number, since it is larger than the sum of its proper divisors (1).

811382129 is an equidigital number, since it uses as much as digits as its factorization.

811382129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 35.

The square root of 811382129 is about 28484.7701236994. The cubic root of 811382129 is about 932.6996475639.

The spelling of 811382129 in words is "eight hundred eleven million, three hundred eighty-two thousand, one hundred twenty-nine".