10505505005 has 8 divisors (see below), whose sum is σ = 12691215000. Its totient is φ = 8347998016.

The previous prime is 10505504993. The next prime is 10505505007. The reversal of 10505505005 is 50050550501.

10505505005 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 784728169 + 9720776836 = 28013^2 + 98594^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10505505005 - 2¹⁴ = 10505488621 is a prime.

It is a super-2 number, since 2×10505505005² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505505007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7049930 + ... + 7051419.

It is an arithmetic number, because the mean of its divisors is an integer number (1586401875).

Almost surely, 2^10505505005 is an apocalyptic number.

It is an amenable number.

10505505005 is a deficient number, since it is larger than the sum of its proper divisors (2185709995).

10505505005 is a wasteful number, since it uses less digits than its factorization.

10505505005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14101503.

The product of its (nonzero) digits is 3125, while the sum is 26.

It can be divided in two parts, 1050 and 5505005, that added together give a palindrome (5506055).

The spelling of 10505505005 in words is "ten billion, five hundred five million, five hundred five thousand, five".