10506560051 has 8 divisors (see below), whose sum is σ = 11506533360. Its totient is φ = 9533983392.

The previous prime is 10506560041. The next prime is 10506560059. The reversal of 10506560051 is 15006560501.

10506560051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10506560051 is a prime.

It is a super-2 number, since 2×10506560051² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10506559996 and 10506560023.

It is not an unprimeable number, because it can be changed into a prime (10506560059) 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, 6848360 + ... + 6849893.

It is an arithmetic number, because the mean of its divisors is an integer number (1438316670).

Almost surely, 2^10506560051 is an apocalyptic number.

10506560051 is a deficient number, since it is larger than the sum of its proper divisors (999973309).

10506560051 is a wasteful number, since it uses less digits than its factorization.

10506560051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13698325.

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

The spelling of 10506560051 in words is "ten billion, five hundred six million, five hundred sixty thousand, fifty-one".