6005313111609 has 18 divisors (see below), whose sum is σ = 10090560127050. Its totient is φ = 3431607492096.

The previous prime is 6005313111569. The next prime is 6005313111649. The reversal of 6005313111609 is 9061113135006.

6005313111609 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 3 + 1 + 31 + 11 + 609 = 666.

It is an interprime number because it is at equal distance from previous prime (6005313111569) and next prime (6005313111649).

It can be written as a sum of positive squares in only one way, i.e., 4269401460009 + 1735911651600 = 2066253^2 + 1317540^2 .

It is not a de Polignac number, because 6005313111609 - 2⁷ = 6005313111481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6005313111649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6808744584 + ... + 6808745465.

It is an arithmetic number, because the mean of its divisors is an integer number (560586673725).

Almost surely, 2^{6005313111609} is an apocalyptic number.

It is an amenable number.

6005313111609 is a deficient number, since it is larger than the sum of its proper divisors (4085247015441).

6005313111609 is a wasteful number, since it uses less digits than its factorization.

6005313111609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617490069 (or 13617490059 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 6005313111609 in words is "six trillion, five billion, three hundred thirteen million, one hundred eleven thousand, six hundred nine".