1006684700661 has 10 divisors (see below), whose sum is σ = 1503812948022. Its totient is φ = 671123133720.

The previous prime is 1006684700653. The next prime is 1006684700663. The reversal of 1006684700661 is 1660074866001.

It can be written as a sum of positive squares in only one way, i.e., 1005369187761 + 1315512900 = 1002681^2 + 36270^2 .

It is not a de Polignac number, because 1006684700661 - 2³ = 1006684700653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006684700663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6214103010 + ... + 6214103171.

Almost surely, 2^{1006684700661} is an apocalyptic number.

It is an amenable number.

1006684700661 is a deficient number, since it is larger than the sum of its proper divisors (497128247361).

1006684700661 is an equidigital number, since it uses as much as digits as its factorization.

1006684700661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12428206193 (or 12428206184 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1006684700661 in words is "one trillion, six billion, six hundred eighty-four million, seven hundred thousand, six hundred sixty-one".