820135003 has 2 divisors, whose sum is σ = 820135004. Its totient is φ = 820135002.

The previous prime is 820134947. The next prime is 820135009. The reversal of 820135003 is 300531028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820135003 - 2²¹ = 818037851 is a prime.

It is not a weakly prime, because it can be changed into another prime (820135009) 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, 410067501 + 410067502.

It is an arithmetic number, because the mean of its divisors is an integer number (410067502).

Almost surely, 2^820135003 is an apocalyptic number.

820135003 is a deficient number, since it is larger than the sum of its proper divisors (1).

820135003 is an equidigital number, since it uses as much as digits as its factorization.

820135003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 820135003 is about 28637.9992841679. Note that the first 3 decimals coincide. The cubic root of 820135003 is about 936.0415259507.

The spelling of 820135003 in words is "eight hundred twenty million, one hundred thirty-five thousand, three".