1005965000566 has 32 divisors (see below), whose sum is σ = 1606579784352. Its totient is φ = 470774177280.

The previous prime is 1005965000563. The next prime is 1005965000603. The reversal of 1005965000566 is 6650005695001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005965000563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4355260 + ... + 4580416.

It is an arithmetic number, because the mean of its divisors is an integer number (50205618261).

Almost surely, 2^{1005965000566} is an apocalyptic number.

1005965000566 is a deficient number, since it is larger than the sum of its proper divisors (600614783786).

1005965000566 is a wasteful number, since it uses less digits than its factorization.

1005965000566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225904.

The product of its (nonzero) digits is 243000, while the sum is 43.

The spelling of 1005965000566 in words is "one trillion, five billion, nine hundred sixty-five million, five hundred sixty-six", and thus it is an aban number.