10606771657957 has 2 divisors, whose sum is σ = 10606771657958. Its totient is φ = 10606771657956.

The previous prime is 10606771657949. The next prime is 10606771657961. The reversal of 10606771657957 is 75975617760601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9868356263236 + 738415394721 = 3141394^2 + 859311^2 .

It is a cyclic number.

It is not a de Polignac number, because 10606771657957 - 2³ = 10606771657949 is a prime.

It is a super-2 number, since 2×10606771657957² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10606771657892 and 10606771657901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10606771657997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303385828978 + 5303385828979.

It is an arithmetic number, because the mean of its divisors is an integer number (5303385828979).

Almost surely, 2^{10606771657957} is an apocalyptic number.

It is an amenable number.

10606771657957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606771657957 is an equidigital number, since it uses as much as digits as its factorization.

10606771657957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116688600, while the sum is 67.

The spelling of 10606771657957 in words is "ten trillion, six hundred six billion, seven hundred seventy-one million, six hundred fifty-seven thousand, nine hundred fifty-seven".