820560413 has 2 divisors, whose sum is σ = 820560414. Its totient is φ = 820560412.

The previous prime is 820560407. The next prime is 820560463. The reversal of 820560413 is 314065028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 820364164 + 196249 = 28642^2 + 443^2 .

It is a cyclic number.

It is not a de Polignac number, because 820560413 - 2⁸ = 820560157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820560463) 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, 410280206 + 410280207.

It is an arithmetic number, because the mean of its divisors is an integer number (410280207).

Almost surely, 2^820560413 is an apocalyptic number.

It is an amenable number.

820560413 is a deficient number, since it is larger than the sum of its proper divisors (1).

820560413 is an equidigital number, since it uses as much as digits as its factorization.

820560413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 820560413 is about 28645.4256906753. The cubic root of 820560413 is about 936.2033418281.

The spelling of 820560413 in words is "eight hundred twenty million, five hundred sixty thousand, four hundred thirteen".