10606771657291 has 2 divisors, whose sum is σ = 10606771657292. Its totient is φ = 10606771657290.

The previous prime is 10606771657253. The next prime is 10606771657297. The reversal of 10606771657291 is 19275617760601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10606771657291 - 2²⁵ = 10606738102859 is a prime.

It is a super-2 number, since 2×10606771657291² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10606771657297) 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, 5303385828645 + 5303385828646.

It is an arithmetic number, because the mean of its divisors is an integer number (5303385828646).

Almost surely, 2^{10606771657291} is an apocalyptic number.

10606771657291 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606771657291 is an equidigital number, since it uses as much as digits as its factorization.

10606771657291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6667920, while the sum is 58.

The spelling of 10606771657291 in words is "ten trillion, six hundred six billion, seven hundred seventy-one million, six hundred fifty-seven thousand, two hundred ninety-one".