6006605066505 has 80 divisors (see below), whose sum is σ = 10930327238160. Its totient is φ = 3155171346432.

The previous prime is 6006605066461. The next prime is 6006605066507. The reversal of 6006605066505 is 5056605066006.

It can be written as a sum of positive squares in 8 ways, for example, as 1040357160441 + 4966247906064 = 1019979^2 + 2228508^2 .

It is not a de Polignac number, because 6006605066505 - 2⁸ = 6006605066249 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 not an unprimeable number, because it can be changed into a prime (6006605066507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20818309 + ... + 21104861.

It is an arithmetic number, because the mean of its divisors is an integer number (136629090477).

Almost surely, 2^{6006605066505} is an apocalyptic number.

It is an amenable number.

6006605066505 is a deficient number, since it is larger than the sum of its proper divisors (4923722171655).

6006605066505 is a wasteful number, since it uses less digits than its factorization.

6006605066505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287352 (or 287343 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 6006605066505 in words is "six trillion, six billion, six hundred five million, sixty-six thousand, five hundred five".