6005313 has 8 divisors (see below), whose sum is σ = 8896800. Its totient is φ = 4003524.

The previous prime is 6005309. The next prime is 6005327. The reversal of 6005313 is 3135006.

6005313 is a `hidden beast` number, since 600 + 53 + 13 = 666.

It is not a de Polignac number, because 6005313 - 2² = 6005309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6005303) 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, 111183 + ... + 111236.

It is an arithmetic number, because the mean of its divisors is an integer number (1112100).

Almost surely, 2^6005313 is an apocalyptic number.

It is an amenable number.

6005313 is a deficient number, since it is larger than the sum of its proper divisors (2891487).

6005313 is a wasteful number, since it uses less digits than its factorization.

6005313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222428 (or 222422 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 6005313 is about 2450.5740143893. The cubic root of 6005313 is about 181.7656788025.

The spelling of 6005313 in words is "six million, five thousand, three hundred thirteen".