7416317313 has 10 divisors (see below), whose sum is σ = 11078696354. Its totient is φ = 4944211488.

The previous prime is 7416317299. The next prime is 7416317327. The reversal of 7416317313 is 3137136147.

7416317313 is a `hidden beast` number, since 7 + 4 + 1 + 631 + 7 + 3 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (7416317299) and next prime (7416317327).

It can be written as a sum of positive squares in only one way, i.e., 4570841664 + 2845475649 = 67608^2 + 53343^2 .

It is not a de Polignac number, because 7416317313 - 2⁸ = 7416317057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7416317413) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 45779656 + ... + 45779817.

Almost surely, 2^7416317313 is an apocalyptic number.

It is an amenable number.

7416317313 is a deficient number, since it is larger than the sum of its proper divisors (3662379041).

7416317313 is an equidigital number, since it uses as much as digits as its factorization.

7416317313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91559485 (or 91559476 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 7416317313 is about 86118.0429004282. The cubic root of 7416317313 is about 1950.1264273059.

The spelling of 7416317313 in words is "seven billion, four hundred sixteen million, three hundred seventeen thousand, three hundred thirteen".