8004040013 has 4 divisors (see below), whose sum is σ = 8033575488. Its totient is φ = 7974504540.

The previous prime is 8004040001. The next prime is 8004040027. The reversal of 8004040013 is 3100404008.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8004040013 - 2⁶ = 8004039949 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 (8004040063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14767331 + ... + 14767872.

It is an arithmetic number, because the mean of its divisors is an integer number (2008393872).

Almost surely, 2^8004040013 is an apocalyptic number.

It is an amenable number.

8004040013 is a deficient number, since it is larger than the sum of its proper divisors (29535475).

8004040013 is a wasteful number, since it uses less digits than its factorization.

8004040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29535474.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8004040013 is about 89465.3006086717. The cubic root of 8004040013 is about 2000.3366110933.

The spelling of 8004040013 in words is "eight billion, four million, forty thousand, thirteen".