10617052006 has 32 divisors (see below), whose sum is σ = 17693510400. Its totient is φ = 4737240480.

The previous prime is 10617051983. The next prime is 10617052063. The reversal of 10617052006 is 60025071601.

It is a super-2 number, since 2×10617052006² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 945855 + ... + 957013.

It is an arithmetic number, because the mean of its divisors is an integer number (552922200).

Almost surely, 2^10617052006 is an apocalyptic number.

10617052006 is a deficient number, since it is larger than the sum of its proper divisors (7076458394).

10617052006 is a wasteful number, since it uses less digits than its factorization.

10617052006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964.

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10617052006 in words is "ten billion, six hundred seventeen million, fifty-two thousand, six".