2767438051057 has 2 divisors, whose sum is σ = 2767438051058. Its totient is φ = 2767438051056.

The previous prime is 2767438051039. The next prime is 2767438051087. The reversal of 2767438051057 is 7501508347672.

2767438051057 is digitally balanced in base 3, 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., 2334047562081 + 433390488976 = 1527759^2 + 658324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2767438051057 - 2²³ = 2767429662449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2767438050989 and 2767438051007.

It is not a weakly prime, because it can be changed into another prime (2767438051087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1383719025528 + 1383719025529.

It is an arithmetic number, because the mean of its divisors is an integer number (1383719025529).

Almost surely, 2^{2767438051057} is an apocalyptic number.

It is an amenable number.

2767438051057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2767438051057 is an equidigital number, since it uses as much as digits as its factorization.

2767438051057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9878400, while the sum is 55.

The spelling of 2767438051057 in words is "two trillion, seven hundred sixty-seven billion, four hundred thirty-eight million, fifty-one thousand, fifty-seven".