10606561997 has 2 divisors, whose sum is σ = 10606561998. Its totient is φ = 10606561996.

The previous prime is 10606561981. The next prime is 10606562009. The reversal of 10606561997 is 79916560601.

10606561997 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., 10558384516 + 48177481 = 102754^2 + 6941^2 .

It is a cyclic number.

It is not a de Polignac number, because 10606561997 - 2⁴ = 10606561981 is a prime.

It is a super-2 number, since 2×10606561997² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10606561907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303280998 + 5303280999.

It is an arithmetic number, because the mean of its divisors is an integer number (5303280999).

Almost surely, 2^10606561997 is an apocalyptic number.

It is an amenable number.

10606561997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606561997 is an equidigital number, since it uses as much as digits as its factorization.

10606561997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 612360, while the sum is 50.

The spelling of 10606561997 in words is "ten billion, six hundred six million, five hundred sixty-one thousand, nine hundred ninety-seven".