1067813217009 has 128 divisors (see below), whose sum is σ = 2089367654400. Its totient is φ = 521814666240.

The previous prime is 1067813216999. The next prime is 1067813217011. The reversal of 1067813217009 is 9007123187601.

1067813217009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1067813217009 - 2¹¹ = 1067813214961 is a prime.

It is a super-2 number, since 2×1067813217009² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067813217019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82660819 + ... + 82673735.

It is an arithmetic number, because the mean of its divisors is an integer number (16323184800).

Almost surely, 2^{1067813217009} is an apocalyptic number.

It is an amenable number.

1067813217009 is a deficient number, since it is larger than the sum of its proper divisors (1021554437391).

1067813217009 is a wasteful number, since it uses less digits than its factorization.

1067813217009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1067813217009 in words is "one trillion, sixty-seven billion, eight hundred thirteen million, two hundred seventeen thousand, nine".