16106585657 has 2 divisors, whose sum is σ = 16106585658. Its totient is φ = 16106585656.

The previous prime is 16106585633. The next prime is 16106585681. The reversal of 16106585657 is 75658560161.

16106585657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (16106585633) and next prime (16106585681).

It can be written as a sum of positive squares in only one way, i.e., 15530393641 + 576192016 = 124621^2 + 24004^2 .

It is a cyclic number.

It is not a de Polignac number, because 16106585657 - 2²² = 16102391353 is a prime.

It is not a weakly prime, because it can be changed into another prime (16106585687) 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, 8053292828 + 8053292829.

It is an arithmetic number, because the mean of its divisors is an integer number (8053292829).

Almost surely, 2^16106585657 is an apocalyptic number.

It is an amenable number.

16106585657 is a deficient number, since it is larger than the sum of its proper divisors (1).

16106585657 is an equidigital number, since it uses as much as digits as its factorization.

16106585657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 50.

The spelling of 16106585657 in words is "sixteen billion, one hundred six million, five hundred eighty-five thousand, six hundred fifty-seven".