1005006165661 has 8 divisors (see below), whose sum is σ = 1037498278400. Its totient is φ = 972518587920.

The previous prime is 1005006165643. The next prime is 1005006165703. The reversal of 1005006165661 is 1665616005001.

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

It is a cyclic number.

It is not a de Polignac number, because 1005006165661 - 2¹¹ = 1005006163613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005006165661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005006165161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680481 + ... + 1572598.

It is an arithmetic number, because the mean of its divisors is an integer number (129687284800).

Almost surely, 2^{1005006165661} is an apocalyptic number.

It is an amenable number.

1005006165661 is a deficient number, since it is larger than the sum of its proper divisors (32492112739).

1005006165661 is a wasteful number, since it uses less digits than its factorization.

1005006165661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267499.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 1005006165661 in words is "one trillion, five billion, six million, one hundred sixty-five thousand, six hundred sixty-one".