820500001 has 2 divisors, whose sum is σ = 820500002. Its totient is φ = 820500000.

The previous prime is 820499983. The next prime is 820500013. The reversal of 820500001 is 100005028.

It is a happy number.

820500001 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., 475283601 + 345216400 = 21801^2 + 18580^2 .

It is a cyclic number.

It is not a de Polignac number, because 820500001 - 2¹⁹ = 819975713 is a prime.

It is not a weakly prime, because it can be changed into another prime (820500041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410250000 + 410250001.

It is an arithmetic number, because the mean of its divisors is an integer number (410250001).

Almost surely, 2^820500001 is an apocalyptic number.

It is an amenable number.

820500001 is a deficient number, since it is larger than the sum of its proper divisors (1).

820500001 is an equidigital number, since it uses as much as digits as its factorization.

820500001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 820500001 is about 28644.3711922604. The cubic root of 820500001 is about 936.1803659434.

Adding to 820500001 its reverse (100005028), we get a palindrome (920505029).

The spelling of 820500001 in words is "eight hundred twenty million, five hundred thousand, one".