4005130005 has 24 divisors (see below), whose sum is σ = 6947123040. Its totient is φ = 2134562400.

The previous prime is 4005129979. The next prime is 4005130021. The reversal of 4005130005 is 5000315004.

It is not a de Polignac number, because 4005130005 - 2¹⁵ = 4005097237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4005130005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34626 + ... + 95964.

It is an arithmetic number, because the mean of its divisors is an integer number (289463460).

Almost surely, 2^4005130005 is an apocalyptic number.

4005130005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4005130005 is a deficient number, since it is larger than the sum of its proper divisors (2941993035).

4005130005 is a wasteful number, since it uses less digits than its factorization.

4005130005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62801 (or 62798 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 4005130005 is about 63286.0964588590. The cubic root of 4005130005 is about 1588.0793766778.

Adding to 4005130005 its reverse (5000315004), we get a palindrome (9005445009).

The spelling of 4005130005 in words is "four billion, five million, one hundred thirty thousand, five".