2820564513 has 12 divisors (see below), whose sum is σ = 4387544980. Its totient is φ = 1735731936.

The previous prime is 2820564511. The next prime is 2820564521. The reversal of 2820564513 is 3154650282.

2820564513 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 5 + 645 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1201870224 + 1618694289 = 34668^2 + 40233^2 .

It is not a de Polignac number, because 2820564513 - 2¹ = 2820564511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2820564511) 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 in 11 ways as a sum of consecutive naturals, for example, 12053578 + ... + 12053811.

Almost surely, 2^2820564513 is an apocalyptic number.

It is an amenable number.

2820564513 is a deficient number, since it is larger than the sum of its proper divisors (1566980467).

2820564513 is a wasteful number, since it uses less digits than its factorization.

2820564513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24107408 (or 24107405 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2820564513 is about 53108.9871208254. The cubic root of 2820564513 is about 1412.9019109308.

The spelling of 2820564513 in words is "two billion, eight hundred twenty million, five hundred sixty-four thousand, five hundred thirteen".