10606006005601 has 8 divisors (see below), whose sum is σ = 10618051302144. Its totient is φ = 10593967188960.

The previous prime is 10606006005593. The next prime is 10606006005607. The reversal of 10606006005601 is 10650060060601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10606006005601 - 2³ = 10606006005593 is a prime.

It is a super-2 number, since 2×10606006005601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10606006005607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1659156 + ... + 4895386.

It is an arithmetic number, because the mean of its divisors is an integer number (1327256412768).

Almost surely, 2^{10606006005601} is an apocalyptic number.

It is an amenable number.

10606006005601 is a deficient number, since it is larger than the sum of its proper divisors (12045296543).

10606006005601 is a wasteful number, since it uses less digits than its factorization.

10606006005601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239951.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 10606006005601 in words is "ten trillion, six hundred six billion, six million, five thousand, six hundred one".