4008000013 has 8 divisors (see below), whose sum is σ = 4279956480. Its totient is φ = 3744960240.

The previous prime is 4008000001. The next prime is 4008000047. The reversal of 4008000013 is 3100008004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4008000013 - 2²¹ = 4005902861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008000613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2228245 + ... + 2230042.

It is an arithmetic number, because the mean of its divisors is an integer number (534994560).

Almost surely, 2^4008000013 is an apocalyptic number.

It is an amenable number.

4008000013 is a deficient number, since it is larger than the sum of its proper divisors (271956467).

4008000013 is a wasteful number, since it uses less digits than its factorization.

4008000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458347.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4008000013 is about 63308.7672680491. The cubic root of 4008000013 is about 1588.4586163249.

Adding to 4008000013 its reverse (3100008004), we get a palindrome (7108008017).

The spelling of 4008000013 in words is "four billion, eight million, thirteen", and thus it is an aban number.