1006100005561 has 16 divisors (see below), whose sum is σ = 1166612723200. Its totient is φ = 849804265728.

The previous prime is 1006100005529. The next prime is 1006100005567. The reversal of 1006100005561 is 1655000016001.

It is a cyclic number.

It is not a de Polignac number, because 1006100005561 - 2⁵ = 1006100005529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006100005567) 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 15 ways as a sum of consecutive naturals, for example, 295041 + ... + 1448878.

It is an arithmetic number, because the mean of its divisors is an integer number (72913295200).

Almost surely, 2^{1006100005561} is an apocalyptic number.

It is an amenable number.

1006100005561 is a deficient number, since it is larger than the sum of its proper divisors (160512717639).

1006100005561 is a wasteful number, since it uses less digits than its factorization.

1006100005561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745128.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1006100005561 in words is "one trillion, six billion, one hundred million, five thousand, five hundred sixty-one".