1005986606801 has 8 divisors (see below), whose sum is σ = 1161995225184. Its totient is φ = 860737203520.

The previous prime is 1005986606797. The next prime is 1005986606813. The reversal of 1005986606801 is 1086066895001.

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 1005986606801 - 2² = 1005986606797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005986606801.

It is not an unprimeable number, because it can be changed into a prime (1005986606201) 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, 2689803575 + ... + 2689803948.

It is an arithmetic number, because the mean of its divisors is an integer number (145249403148).

Almost surely, 2^{1005986606801} is an apocalyptic number.

1005986606801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005986606801 is a deficient number, since it is larger than the sum of its proper divisors (156008618383).

1005986606801 is a wasteful number, since it uses less digits than its factorization.

1005986606801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379607551.

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 1005986606801 in words is "one trillion, five billion, nine hundred eighty-six million, six hundred six thousand, eight hundred one".