6013104006 has 128 divisors (see below), whose sum is σ = 15374177280. Its totient is φ = 1524966912.

The previous prime is 6013103959. The next prime is 6013104023. The reversal of 6013104006 is 6004013106.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4860420 + ... + 4861656.

It is an arithmetic number, because the mean of its divisors is an integer number (120110760).

Almost surely, 2^6013104006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6013104006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687088640).

6013104006 is an abundant number, since it is smaller than the sum of its proper divisors (9361073274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6013104006 is a wasteful number, since it uses less digits than its factorization.

6013104006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6013104006 is about 77544.2067855491. The cubic root of 6013104006 is about 1818.4424953505.

The spelling of 6013104006 in words is "six billion, thirteen million, one hundred four thousand, six".