4638638113 has 2 divisors, whose sum is σ = 4638638114. Its totient is φ = 4638638112.

The previous prime is 4638638111. The next prime is 4638638141. The reversal of 4638638113 is 3118368364.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4306378129 + 332259984 = 65623^2 + 18228^2 .

It is a cyclic number.

It is not a de Polignac number, because 4638638113 - 2¹ = 4638638111 is a prime.

Together with 4638638111, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4638638113.

It is not a weakly prime, because it can be changed into another prime (4638638111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2319319056 + 2319319057.

It is an arithmetic number, because the mean of its divisors is an integer number (2319319057).

Almost surely, 2^4638638113 is an apocalyptic number.

It is an amenable number.

4638638113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4638638113 is an equidigital number, since it uses as much as digits as its factorization.

4638638113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 248832, while the sum is 43.

The square root of 4638638113 is about 68107.5481352838. The cubic root of 4638638113 is about 1667.7469842681.

The spelling of 4638638113 in words is "four billion, six hundred thirty-eight million, six hundred thirty-eight thousand, one hundred thirteen".