4657687313 has 2 divisors, whose sum is σ = 4657687314. Its totient is φ = 4657687312.

The previous prime is 4657687301. The next prime is 4657687337. The reversal of 4657687313 is 3137867564.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4627128529 + 30558784 = 68023^2 + 5528^2 .

It is a cyclic number.

It is not a de Polignac number, because 4657687313 - 2⁶ = 4657687249 is a prime.

It is a super-2 number, since 2×4657687313² = 43388102211362319938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4657687343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328843656 + 2328843657.

It is an arithmetic number, because the mean of its divisors is an integer number (2328843657).

Almost surely, 2^4657687313 is an apocalyptic number.

It is an amenable number.

4657687313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4657687313 is an equidigital number, since it uses as much as digits as its factorization.

4657687313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2540160, while the sum is 50.

The square root of 4657687313 is about 68247.2513219397. The cubic root of 4657687313 is about 1670.0268097815.

The spelling of 4657687313 in words is "four billion, six hundred fifty-seven million, six hundred eighty-seven thousand, three hundred thirteen".