10606771657457 has 2 divisors, whose sum is σ = 10606771657458. Its totient is φ = 10606771657456.

The previous prime is 10606771657429. The next prime is 10606771657579. The reversal of 10606771657457 is 75475617760601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8337286654096 + 2269485003361 = 2887436^2 + 1506481^2 .

It is a cyclic number.

It is not a de Polignac number, because 10606771657457 - 2³² = 10602476690161 is a prime.

It is a super-2 number, since 2×10606771657457² (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 10606771657457.

It is not a weakly prime, because it can be changed into another prime (10606771657957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303385828728 + 5303385828729.

It is an arithmetic number, because the mean of its divisors is an integer number (5303385828729).

Almost surely, 2^{10606771657457} is an apocalyptic number.

It is an amenable number.

10606771657457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606771657457 is an equidigital number, since it uses as much as digits as its factorization.

10606771657457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51861600, while the sum is 62.

The spelling of 10606771657457 in words is "ten trillion, six hundred six billion, seven hundred seventy-one million, six hundred fifty-seven thousand, four hundred fifty-seven".