1006655005665 has 24 divisors (see below), whose sum is σ = 1792027292328. Its totient is φ = 522372326400.

The previous prime is 1006655005651. The next prime is 1006655005667. The reversal of 1006655005665 is 5665005566001.

It can be written as a sum of positive squares in 4 ways, for example, as 632922078096 + 373732927569 = 795564^2 + 611337^2 .

It is not a de Polignac number, because 1006655005665 - 2⁸ = 1006655005409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006655005665.

It is not an unprimeable number, because it can be changed into a prime (1006655005667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302297136 + ... + 302300465.

It is an arithmetic number, because the mean of its divisors is an integer number (74667803847).

Almost surely, 2^{1006655005665} is an apocalyptic number.

1006655005665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006655005665 is a deficient number, since it is larger than the sum of its proper divisors (785372286663).

1006655005665 is a wasteful number, since it uses less digits than its factorization.

1006655005665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604597649 (or 604597646 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 1006655005665 in words is "one trillion, six billion, six hundred fifty-five million, five thousand, six hundred sixty-five".