1000006100561 has 32 divisors (see below), whose sum is σ = 1106204107008. Its totient is φ = 898159933440.

The previous prime is 1000006100531. The next prime is 1000006100567. The reversal of 1000006100561 is 1650016000001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000006100561 - 2²⁶ = 999938991697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000006100567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432714596 + ... + 432716906.

It is an arithmetic number, because the mean of its divisors is an integer number (34568878344).

Almost surely, 2^{1000006100561} is an apocalyptic number.

It is an amenable number.

1000006100561 is a deficient number, since it is larger than the sum of its proper divisors (106198006447).

1000006100561 is a wasteful number, since it uses less digits than its factorization.

1000006100561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1000006100561 in words is "one trillion, six million, one hundred thousand, five hundred sixty-one".