10511056010561 has 8 divisors (see below), whose sum is σ = 10643403685824. Its totient is φ = 10379340067120.

The previous prime is 10511056010513. The next prime is 10511056010621. The reversal of 10511056010561 is 16501065011501.

10511056010561 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-10511056010561 is a prime.

It is a super-2 number, since 2×10511056010561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10511056210561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157899470 + ... + 157966023.

It is an arithmetic number, because the mean of its divisors is an integer number (1330425460728).

Almost surely, 2^{10511056010561} is an apocalyptic number.

It is an amenable number.

10511056010561 is a deficient number, since it is larger than the sum of its proper divisors (132347675263).

10511056010561 is a wasteful number, since it uses less digits than its factorization.

10511056010561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315865911.

The product of its (nonzero) digits is 4500, while the sum is 32.

The spelling of 10511056010561 in words is "ten trillion, five hundred eleven billion, fifty-six million, ten thousand, five hundred sixty-one".