4005323405353 has 2 divisors, whose sum is σ = 4005323405354. Its totient is φ = 4005323405352.

The previous prime is 4005323405311. The next prime is 4005323405387. The reversal of 4005323405353 is 3535043235004.

4005323405353 is digitally balanced in base 2, 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., 2229159483369 + 1776163921984 = 1493037^2 + 1332728^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005323405353 - 2³⁷ = 3867884451881 is a prime.

It is not a weakly prime, because it can be changed into another prime (4005323405453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002661702676 + 2002661702677.

It is an arithmetic number, because the mean of its divisors is an integer number (2002661702677).

Almost surely, 2^{4005323405353} is an apocalyptic number.

It is an amenable number.

4005323405353 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005323405353 is an equidigital number, since it uses as much as digits as its factorization.

4005323405353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 37.

The spelling of 4005323405353 in words is "four trillion, five billion, three hundred twenty-three million, four hundred five thousand, three hundred fifty-three".