313004601 has 48 divisors (see below), whose sum is σ = 580944000. Its totient is φ = 165092256.

The previous prime is 313004597. The next prime is 313004609. The reversal of 313004601 is 106400313.

313004601 is a `hidden beast` number, since 31 + 30 + 0 + 4 + 601 = 666.

It is not a de Polignac number, because 313004601 - 2² = 313004597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313004609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8100 + ... + 26298.

It is an arithmetic number, because the mean of its divisors is an integer number (12103000).

Almost surely, 2^313004601 is an apocalyptic number.

It is an amenable number.

313004601 is a deficient number, since it is larger than the sum of its proper divisors (267939399).

313004601 is a wasteful number, since it uses less digits than its factorization.

313004601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18235 (or 18222 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313004601 is about 17691.9360444243. The cubic root of 313004601 is about 678.9694604892.

Adding to 313004601 its reverse (106400313), we get a palindrome (419404914).

The spelling of 313004601 in words is "three hundred thirteen million, four thousand, six hundred one".