4105577137 has 2 divisors, whose sum is σ = 4105577138. Its totient is φ = 4105577136.

The previous prime is 4105577117. The next prime is 4105577167. The reversal of 4105577137 is 7317755014.

4105577137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3336679696 + 768897441 = 57764^2 + 27729^2 .

It is a cyclic number.

It is not a de Polignac number, because 4105577137 - 2¹⁵ = 4105544369 is a prime.

It is a super-3 number, since 3×4105577137³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4105577137.

It is not a weakly prime, because it can be changed into another prime (4105577117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2052788568 + 2052788569.

It is an arithmetic number, because the mean of its divisors is an integer number (2052788569).

Almost surely, 2^4105577137 is an apocalyptic number.

It is an amenable number.

4105577137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4105577137 is an equidigital number, since it uses as much as digits as its factorization.

4105577137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 102900, while the sum is 40.

The square root of 4105577137 is about 64074.7776976245. Note that the first 3 decimals coincide. The cubic root of 4105577137 is about 1601.2460523909.

The spelling of 4105577137 in words is "four billion, one hundred five million, five hundred seventy-seven thousand, one hundred thirty-seven".