1067008133 has 2 divisors, whose sum is σ = 1067008134. Its totient is φ = 1067008132.

The previous prime is 1067008087. The next prime is 1067008169. The reversal of 1067008133 is 3318007601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997485889 + 69522244 = 31583^2 + 8338^2 .

It is a cyclic number.

It is not a de Polignac number, because 1067008133 - 2²⁴ = 1050230917 is a prime.

It is a super-2 number, since 2×1067008133² = 2277012711776291378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067008096 and 1067008105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1067008193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533504066 + 533504067.

It is an arithmetic number, because the mean of its divisors is an integer number (533504067).

Almost surely, 2^1067008133 is an apocalyptic number.

It is an amenable number.

1067008133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067008133 is an equidigital number, since it uses as much as digits as its factorization.

1067008133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1067008133 is about 32665.0904330602. The cubic root of 1067008133 is about 1021.8549269226.

The spelling of 1067008133 in words is "one billion, sixty-seven million, eight thousand, one hundred thirty-three".