4005005273 has 2 divisors, whose sum is σ = 4005005274. Its totient is φ = 4005005272.

The previous prime is 4005005237. The next prime is 4005005287. The reversal of 4005005273 is 3725005004.

Together with previous prime (4005005237) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3865481929 + 139523344 = 62173^2 + 11812^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005005273 - 2⁶ = 4005005209 is a prime.

It is not a weakly prime, because it can be changed into another prime (4005005233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002502636 + 2002502637.

It is an arithmetic number, because the mean of its divisors is an integer number (2002502637).

Almost surely, 2^4005005273 is an apocalyptic number.

It is an amenable number.

4005005273 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005005273 is an equidigital number, since it uses as much as digits as its factorization.

4005005273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 4005005273 is about 63285.1109898687. The cubic root of 4005005273 is about 1588.0628906235.

The spelling of 4005005273 in words is "four billion, five million, five thousand, two hundred seventy-three".