4105777057 has 2 divisors, whose sum is σ = 4105777058. Its totient is φ = 4105777056.

The previous prime is 4105777037. The next prime is 4105777061. The reversal of 4105777057 is 7507775014.

It is a happy number.

4105777057 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., 4090753681 + 15023376 = 63959^2 + 3876^2 .

It is a cyclic number.

It is not a de Polignac number, because 4105777057 - 2¹⁵ = 4105744289 is a prime.

It is not a weakly prime, because it can be changed into another prime (4105777037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2052888528 + 2052888529.

It is an arithmetic number, because the mean of its divisors is an integer number (2052888529).

Almost surely, 2^4105777057 is an apocalyptic number.

It is an amenable number.

4105777057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4105777057 is an equidigital number, since it uses as much as digits as its factorization.

4105777057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240100, while the sum is 43.

The square root of 4105777057 is about 64076.3377308660. The cubic root of 4105777057 is about 1601.2720427209.

The spelling of 4105777057 in words is "four billion, one hundred five million, seven hundred seventy-seven thousand, fifty-seven".