4005272473 has 2 divisors, whose sum is σ = 4005272474. Its totient is φ = 4005272472.

The previous prime is 4005272443. The next prime is 4005272489. The reversal of 4005272473 is 3742725004.

4005272473 is digitally balanced in base 3, 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., 2117196169 + 1888076304 = 46013^2 + 43452^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005272473 - 2²⁹ = 3468401561 is a prime.

It is not a weakly prime, because it can be changed into another prime (4005272443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002636236 + 2002636237.

It is an arithmetic number, because the mean of its divisors is an integer number (2002636237).

Almost surely, 2^4005272473 is an apocalyptic number.

It is an amenable number.

4005272473 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005272473 is an equidigital number, since it uses as much as digits as its factorization.

4005272473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 4005272473 is about 63287.2220357317. Note that the first 3 decimals coincide. The cubic root of 4005272473 is about 1588.0982065127.

Adding to 4005272473 its reverse (3742725004), we get a palindrome (7747997477).

The spelling of 4005272473 in words is "four billion, five million, two hundred seventy-two thousand, four hundred seventy-three".