80585129 has 2 divisors, whose sum is σ = 80585130. Its totient is φ = 80585128.

The previous prime is 80585093. The next prime is 80585143. The reversal of 80585129 is 92158508.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76090729 + 4494400 = 8723^2 + 2120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-80585129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 80585092 and 80585101.

It is not a weakly prime, because it can be changed into another prime (80585179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40292564 + 40292565.

It is an arithmetic number, because the mean of its divisors is an integer number (40292565).

Almost surely, 2^80585129 is an apocalyptic number.

It is an amenable number.

80585129 is a deficient number, since it is larger than the sum of its proper divisors (1).

80585129 is an equidigital number, since it uses as much as digits as its factorization.

80585129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 80585129 is about 8976.9220226089. The cubic root of 80585129 is about 431.9349056727.

The spelling of 80585129 in words is "eighty million, five hundred eighty-five thousand, one hundred twenty-nine".