10606771657301 has 2 divisors, whose sum is σ = 10606771657302. Its totient is φ = 10606771657300.

The previous prime is 10606771657297. The next prime is 10606771657303. The reversal of 10606771657301 is 10375617760601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10196998839076 + 409772818225 = 3193274^2 + 640135^2 .

It is a cyclic number.

It is not a de Polignac number, because 10606771657301 - 2² = 10606771657297 is a prime.

It is a super-2 number, since 2×10606771657301² (a number of 27 digits) contains 22 as substring.

Together with 10606771657303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10606771657301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10606771657303) 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 as a sum of consecutive naturals, namely, 5303385828650 + 5303385828651.

It is an arithmetic number, because the mean of its divisors is an integer number (5303385828651).

Almost surely, 2^{10606771657301} is an apocalyptic number.

It is an amenable number.

10606771657301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606771657301 is an equidigital number, since it uses as much as digits as its factorization.

10606771657301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1111320, while the sum is 50.

The spelling of 10606771657301 in words is "ten trillion, six hundred six billion, seven hundred seventy-one million, six hundred fifty-seven thousand, three hundred one".