1011271785857 has 2 divisors, whose sum is σ = 1011271785858. Its totient is φ = 1011271785856.

The previous prime is 1011271785803. The next prime is 1011271785877. The reversal of 1011271785857 is 7585871721101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 766752414736 + 244519371121 = 875644^2 + 494489^2 .

It is an emirp because it is prime and its reverse (7585871721101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011271785857 - 2⁶ = 1011271785793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011271785799 and 1011271785808.

It is not a weakly prime, because it can be changed into another prime (1011271785877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505635892928 + 505635892929.

It is an arithmetic number, because the mean of its divisors is an integer number (505635892929).

Almost surely, 2^{1011271785857} is an apocalyptic number.

It is an amenable number.

1011271785857 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011271785857 is an equidigital number, since it uses as much as digits as its factorization.

1011271785857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1097600, while the sum is 53.

The spelling of 1011271785857 in words is "one trillion, eleven billion, two hundred seventy-one million, seven hundred eighty-five thousand, eight hundred fifty-seven".