4005002013 has 8 divisors (see below), whose sum is σ = 5340474048. Its totient is φ = 2669765664.

The previous prime is 4005002011. The next prime is 4005002021. The reversal of 4005002013 is 3102005004.

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

It is not a de Polignac number, because 4005002013 - 2¹ = 4005002011 is a prime.

It is a super-2 number, since 2×4005002013² = 32080082248268104338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4005001983 and 4005002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005002011) 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, 14481 + ... + 90662.

It is an arithmetic number, because the mean of its divisors is an integer number (667559256).

Almost surely, 2^4005002013 is an apocalyptic number.

It is an amenable number.

4005002013 is a deficient number, since it is larger than the sum of its proper divisors (1335472035).

4005002013 is a wasteful number, since it uses less digits than its factorization.

4005002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117843.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4005002013 is about 63285.0852334102. The cubic root of 4005002013 is about 1588.0624597388.

Adding to 4005002013 its reverse (3102005004), we get a palindrome (7107007017).

The spelling of 4005002013 in words is "four billion, five million, two thousand, thirteen".