10601115565657 has 2 divisors, whose sum is σ = 10601115565658. Its totient is φ = 10601115565656.

The previous prime is 10601115565643. The next prime is 10601115565741. The reversal of 10601115565657 is 75656551110601.

10601115565657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7645728238281 + 2955387327376 = 2765091^2 + 1719124^2 .

It is a cyclic number.

It is not a de Polignac number, because 10601115565657 - 2³⁵ = 10566755827289 is a prime.

It is a super-2 number, since 2×10601115565657² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10601115565657.

It is not a weakly prime, because it can be changed into another prime (10601115565627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5300557782828 + 5300557782829.

It is an arithmetic number, because the mean of its divisors is an integer number (5300557782829).

Almost surely, 2^{10601115565657} is an apocalyptic number.

It is an amenable number.

10601115565657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10601115565657 is an equidigital number, since it uses as much as digits as its factorization.

10601115565657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945000, while the sum is 49.

The spelling of 10601115565657 in words is "ten trillion, six hundred one billion, one hundred fifteen million, five hundred sixty-five thousand, six hundred fifty-seven".