10065565665 has 24 divisors (see below), whose sum is σ = 17489670120. Its totient is φ = 5355166464.

The previous prime is 10065565639. The next prime is 10065565669. The reversal of 10065565665 is 56656556001.

It can be written as a sum of positive squares in 4 ways, for example, as 5434490961 + 4631074704 = 73719^2 + 68052^2 .

It is not a de Polignac number, because 10065565665 - 2⁵ = 10065565633 is a prime.

It is a super-2 number, since 2×10065565665² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10065565665.

It is not an unprimeable number, because it can be changed into a prime (10065565669) 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, 255042 + ... + 291851.

It is an arithmetic number, because the mean of its divisors is an integer number (728736255).

Almost surely, 2^10065565665 is an apocalyptic number.

10065565665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10065565665 is a deficient number, since it is larger than the sum of its proper divisors (7424104455).

10065565665 is a wasteful number, since it uses less digits than its factorization.

10065565665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547313 (or 547310 counting only the distinct ones).

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

The spelling of 10065565665 in words is "ten billion, sixty-five million, five hundred sixty-five thousand, six hundred sixty-five".