4005072319 has 2 divisors, whose sum is σ = 4005072320. Its totient is φ = 4005072318.

The previous prime is 4005072307. The next prime is 4005072329. The reversal of 4005072319 is 9132705004.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4005072319 - 2³¹ = 1857588671 is a prime.

It is a super-2 number, since 2×4005072319² = 32081208560840075522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4005072329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002536159 + 2002536160.

It is an arithmetic number, because the mean of its divisors is an integer number (2002536160).

Almost surely, 2^4005072319 is an apocalyptic number.

4005072319 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005072319 is an equidigital number, since it uses as much as digits as its factorization.

4005072319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 4005072319 is about 63285.6407015051. The cubic root of 4005072319 is about 1588.0717522573.

The spelling of 4005072319 in words is "four billion, five million, seventy-two thousand, three hundred nineteen".