1055011001089 has 2 divisors, whose sum is σ = 1055011001090. Its totient is φ = 1055011001088.

The previous prime is 1055011001087. The next prime is 1055011001141. The reversal of 1055011001089 is 9801001105501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 932026122225 + 122984878864 = 965415^2 + 350692^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055011001089 - 2¹ = 1055011001087 is a prime.

It is a super-2 number, since 2×1055011001089² (a number of 25 digits) contains 22 as substring.

Together with 1055011001087, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1055011001089.

It is not a weakly prime, because it can be changed into another prime (1055011001087) 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, 527505500544 + 527505500545.

It is an arithmetic number, because the mean of its divisors is an integer number (527505500545).

Almost surely, 2^{1055011001089} is an apocalyptic number.

It is an amenable number.

1055011001089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1055011001089 is an equidigital number, since it uses as much as digits as its factorization.

1055011001089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 31.

The spelling of 1055011001089 in words is "one trillion, fifty-five billion, eleven million, one thousand, eighty-nine".