4135768577 has 2 divisors, whose sum is σ = 4135768578. Its totient is φ = 4135768576.

The previous prime is 4135768547. The next prime is 4135768591. The reversal of 4135768577 is 7758675314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2916432016 + 1219336561 = 54004^2 + 34919^2 .

It is a cyclic number.

It is not a de Polignac number, because 4135768577 - 2¹⁴ = 4135752193 is a prime.

It is not a weakly prime, because it can be changed into another prime (4135768547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2067884288 + 2067884289.

It is an arithmetic number, because the mean of its divisors is an integer number (2067884289).

Almost surely, 2^4135768577 is an apocalyptic number.

It is an amenable number.

4135768577 is a deficient number, since it is larger than the sum of its proper divisors (1).

4135768577 is an equidigital number, since it uses as much as digits as its factorization.

4135768577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4939200, while the sum is 53.

The square root of 4135768577 is about 64309.9415098474. The cubic root of 4135768577 is about 1605.1615313466.

The spelling of 4135768577 in words is "four billion, one hundred thirty-five million, seven hundred sixty-eight thousand, five hundred seventy-seven".