10005610565 has 8 divisors (see below), whose sum is σ = 12233275128. Its totient is φ = 7853460160.

The previous prime is 10005610547. The next prime is 10005610619. The reversal of 10005610565 is 56501650001.

It can be written as a sum of positive squares in 4 ways, for example, as 228553924 + 9777056641 = 15118^2 + 98879^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10005610565 - 2²⁰ = 10004561989 is a prime.

It is a super-2 number, since 2×10005610565² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18878246 + ... + 18878775.

It is an arithmetic number, because the mean of its divisors is an integer number (1529159391).

Almost surely, 2^10005610565 is an apocalyptic number.

It is an amenable number.

10005610565 is a deficient number, since it is larger than the sum of its proper divisors (2227664563).

10005610565 is an equidigital number, since it uses as much as digits as its factorization.

10005610565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37757079.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10005610565 in words is "ten billion, five million, six hundred ten thousand, five hundred sixty-five".