4138659757 has 2 divisors, whose sum is σ = 4138659758. Its totient is φ = 4138659756.

The previous prime is 4138659739. The next prime is 4138659773. The reversal of 4138659757 is 7579568314.

4138659757 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3407173641 + 731486116 = 58371^2 + 27046^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4138659757 is a prime.

It is a super-2 number, since 2×4138659757² = 34257009168422598098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4138659698 and 4138659707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4138659727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2069329878 + 2069329879.

It is an arithmetic number, because the mean of its divisors is an integer number (2069329879).

Almost surely, 2^4138659757 is an apocalyptic number.

It is an amenable number.

4138659757 is a deficient number, since it is larger than the sum of its proper divisors (1).

4138659757 is an equidigital number, since it uses as much as digits as its factorization.

4138659757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6350400, while the sum is 55.

The square root of 4138659757 is about 64332.4160668632. The cubic root of 4138659757 is about 1605.5354827929.

The spelling of 4138659757 in words is "four billion, one hundred thirty-eight million, six hundred fifty-nine thousand, seven hundred fifty-seven".