1067088808081 has 2 divisors, whose sum is σ = 1067088808082. Its totient is φ = 1067088808080.

The previous prime is 1067088808063. The next prime is 1067088808193. The reversal of 1067088808081 is 1808088807601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1058017960000 + 9070848081 = 1028600^2 + 95241^2 .

It is a cyclic number.

It is not a de Polignac number, because 1067088808081 - 2¹¹ = 1067088806033 is a prime.

It is a super-2 number, since 2×1067088808081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1067088808381) 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, 533544404040 + 533544404041.

It is an arithmetic number, because the mean of its divisors is an integer number (533544404041).

Almost surely, 2^{1067088808081} is an apocalyptic number.

It is an amenable number.

1067088808081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067088808081 is an equidigital number, since it uses as much as digits as its factorization.

1067088808081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1376256, while the sum is 55.

The spelling of 1067088808081 in words is "one trillion, sixty-seven billion, eighty-eight million, eight hundred eight thousand, eighty-one".