10606006005061 has 2 divisors, whose sum is σ = 10606006005062. Its totient is φ = 10606006005060.

The previous prime is 10606006005041. The next prime is 10606006005071. The reversal of 10606006005061 is 16050060060601.

10606006005061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10574977182561 + 31028822500 = 3251919^2 + 176150^2 .

It is a cyclic number.

It is not a de Polignac number, because 10606006005061 - 2²⁵ = 10605972450629 is a prime.

It is a super-2 number, since 2×10606006005061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10606006005041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303003002530 + 5303003002531.

It is an arithmetic number, because the mean of its divisors is an integer number (5303003002531).

Almost surely, 2^{10606006005061} is an apocalyptic number.

It is an amenable number.

10606006005061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606006005061 is an equidigital number, since it uses as much as digits as its factorization.

10606006005061 is an evil number, because the sum of its binary digits is even.

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

Adding to 10606006005061 its reverse (16050060060601), we get a palindrome (26656066065662).

The spelling of 10606006005061 in words is "ten trillion, six hundred six billion, six million, five thousand, sixty-one".