1006071134667 has 16 divisors (see below), whose sum is σ = 1367848677888. Its totient is φ = 657524406240.

The previous prime is 1006071134623. The next prime is 1006071134671. The reversal of 1006071134667 is 7664311706001.

It is not a de Polignac number, because 1006071134667 - 2⁶ = 1006071134603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006071134867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2374333 + ... + 2765790.

It is an arithmetic number, because the mean of its divisors is an integer number (85490542368).

Almost surely, 2^{1006071134667} is an apocalyptic number.

1006071134667 is a deficient number, since it is larger than the sum of its proper divisors (361777543221).

1006071134667 is a wasteful number, since it uses less digits than its factorization.

1006071134667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141410.

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 1006071134667 in words is "one trillion, six billion, seventy-one million, one hundred thirty-four thousand, six hundred sixty-seven".