1121133764057 has 2 divisors, whose sum is σ = 1121133764058. Its totient is φ = 1121133764056.

The previous prime is 1121133763999. The next prime is 1121133764071. The reversal of 1121133764057 is 7504673311211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 603797377936 + 517336386121 = 777044^2 + 719261^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121133764057 - 2¹⁶ = 1121133698521 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121133764077) 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, 560566882028 + 560566882029.

It is an arithmetic number, because the mean of its divisors is an integer number (560566882029).

Almost surely, 2^{1121133764057} is an apocalyptic number.

It is an amenable number.

1121133764057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121133764057 is an equidigital number, since it uses as much as digits as its factorization.

1121133764057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 1121133764057 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-three million, seven hundred sixty-four thousand, fifty-seven".