10005610556061 has 8 divisors (see below), whose sum is σ = 14823126749760. Its totient is φ = 6670407037356.

The previous prime is 10005610556047. The next prime is 10005610556147. The reversal of 10005610556061 is 16065501650001.

It is not a de Polignac number, because 10005610556061 - 2¹⁴ = 10005610539677 is a prime.

It is a super-2 number, since 2×10005610556061² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005610556761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185289084345 + ... + 185289084398.

It is an arithmetic number, because the mean of its divisors is an integer number (1852890843720).

Almost surely, 2^{10005610556061} is an apocalyptic number.

It is an amenable number.

10005610556061 is a deficient number, since it is larger than the sum of its proper divisors (4817516193699).

10005610556061 is an equidigital number, since it uses as much as digits as its factorization.

10005610556061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370578168752 (or 370578168746 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10005610556061 in words is "ten trillion, five billion, six hundred ten million, five hundred fifty-six thousand, sixty-one".