10005056010561 has 4 divisors (see below), whose sum is σ = 13340074680752. Its totient is φ = 6670037340372.

The previous prime is 10005056010527. The next prime is 10005056010613. The reversal of 10005056010561 is 16501065050001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10005056010561 - 2³¹ = 10002908526913 is a prime.

It is a super-2 number, since 2×10005056010561² (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 (10005056010161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1667509335091 + ... + 1667509335096.

It is an arithmetic number, because the mean of its divisors is an integer number (3335018670188).

Almost surely, 2^{10005056010561} is an apocalyptic number.

It is an amenable number.

10005056010561 is a deficient number, since it is larger than the sum of its proper divisors (3335018670191).

10005056010561 is an equidigital number, since it uses as much as digits as its factorization.

10005056010561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335018670190.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10005056010561 in words is "ten trillion, five billion, fifty-six million, ten thousand, five hundred sixty-one".