2765136110257 has 2 divisors, whose sum is σ = 2765136110258. Its totient is φ = 2765136110256.

The previous prime is 2765136110239. The next prime is 2765136110311. The reversal of 2765136110257 is 7520116315672.

2765136110257 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., 1611335739456 + 1153800370801 = 1269384^2 + 1074151^2 .

It is a cyclic number.

It is not a de Polignac number, because 2765136110257 - 2¹⁵ = 2765136077489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2765136140257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1382568055128 + 1382568055129.

It is an arithmetic number, because the mean of its divisors is an integer number (1382568055129).

Almost surely, 2^{2765136110257} is an apocalyptic number.

It is an amenable number.

2765136110257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2765136110257 is an equidigital number, since it uses as much as digits as its factorization.

2765136110257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 2765136110257 in words is "two trillion, seven hundred sixty-five billion, one hundred thirty-six million, one hundred ten thousand, two hundred fifty-seven".