10006056061 has 16 divisors (see below), whose sum is σ = 10743957504. Its totient is φ = 9285663744.

The previous prime is 10006056041. The next prime is 10006056077. The reversal of 10006056061 is 16065060001.

It is a cyclic number.

It is not a de Polignac number, because 10006056061 - 2⁷ = 10006055933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006056041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337701 + ... + 366133.

It is an arithmetic number, because the mean of its divisors is an integer number (671497344).

Almost surely, 2^10006056061 is an apocalyptic number.

It is an amenable number.

10006056061 is a deficient number, since it is larger than the sum of its proper divisors (737901443).

10006056061 is a wasteful number, since it uses less digits than its factorization.

10006056061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28740.

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 10006056061 in words is "ten billion, six million, fifty-six thousand, sixty-one".