5005100010561 has 32 divisors (see below), whose sum is σ = 7649453899776. Its totient is φ = 2851575840000.

The previous prime is 5005100010473. The next prime is 5005100010587. The reversal of 5005100010561 is 1650100015005.

It is not a de Polignac number, because 5005100010561 - 2¹⁸ = 5005099748417 is a prime.

It is a super-2 number, since 2×5005100010561² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5005100010961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17805696 + ... + 18084606.

It is an arithmetic number, because the mean of its divisors is an integer number (239045434368).

Almost surely, 2^{5005100010561} is an apocalyptic number.

It is an amenable number.

5005100010561 is a deficient number, since it is larger than the sum of its proper divisors (2644353889215).

5005100010561 is a wasteful number, since it uses less digits than its factorization.

5005100010561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281453.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 5005100010561 its reverse (1650100015005), we get a palindrome (6655200025566).

The spelling of 5005100010561 in words is "five trillion, five billion, one hundred million, ten thousand, five hundred sixty-one".