820458013 has 2 divisors, whose sum is σ = 820458014. Its totient is φ = 820458012.

The previous prime is 820457983. The next prime is 820458049. The reversal of 820458013 is 310854028.

820458013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 683404164 + 137053849 = 26142^2 + 11707^2 .

It is a cyclic number.

It is not a de Polignac number, because 820458013 - 2¹³ = 820449821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820458413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410229006 + 410229007.

It is an arithmetic number, because the mean of its divisors is an integer number (410229007).

Almost surely, 2^820458013 is an apocalyptic number.

It is an amenable number.

820458013 is a deficient number, since it is larger than the sum of its proper divisors (1).

820458013 is an equidigital number, since it uses as much as digits as its factorization.

820458013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 820458013 is about 28643.6382640195. The cubic root of 820458013 is about 936.1643964079.

The spelling of 820458013 in words is "eight hundred twenty million, four hundred fifty-eight thousand, thirteen".