1005006165667 has 8 divisors (see below), whose sum is σ = 1188184629600. Its totient is φ = 831729240384.

The previous prime is 1005006165643. The next prime is 1005006165703. The reversal of 1005006165667 is 7665616005001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005006165667 - 2¹⁵ = 1005006132899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005006165617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475384442 + ... + 2475384847.

It is an arithmetic number, because the mean of its divisors is an integer number (148523078700).

Almost surely, 2^{1005006165667} is an apocalyptic number.

1005006165667 is a deficient number, since it is larger than the sum of its proper divisors (183178463933).

1005006165667 is an equidigital number, since it uses as much as digits as its factorization.

1005006165667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950769325.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 1005006165667 in words is "one trillion, five billion, six million, one hundred sixty-five thousand, six hundred sixty-seven".