10006050510565 has 8 divisors (see below), whose sum is σ = 12017258338968. Its totient is φ = 7998175257600.

The previous prime is 10006050510539. The next prime is 10006050510629. The reversal of 10006050510565 is 56501505060001.

10006050510565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 241869207204 + 9764181303361 = 491802^2 + 3124769^2 .

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

It is not a de Polignac number, because 10006050510565 - 2⁴³ = 1209957488357 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006050510565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 833137252 + ... + 833149261.

It is an arithmetic number, because the mean of its divisors is an integer number (1502157292371).

Almost surely, 2^{10006050510565} is an apocalyptic number.

It is an amenable number.

10006050510565 is a deficient number, since it is larger than the sum of its proper divisors (2011207828403).

10006050510565 is a wasteful number, since it uses less digits than its factorization.

10006050510565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666287719.

The product of its (nonzero) digits is 22500, while the sum is 34.

Adding to 10006050510565 its reverse (56501505060001), we get a palindrome (66507555570566).

The spelling of 10006050510565 in words is "ten trillion, six billion, fifty million, five hundred ten thousand, five hundred sixty-five".