1057136666161 has 2 divisors, whose sum is σ = 1057136666162. Its totient is φ = 1057136666160.

The previous prime is 1057136666071. The next prime is 1057136666177. The reversal of 1057136666161 is 1616666317501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 632710475761 + 424426190400 = 795431^2 + 651480^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057136666161 - 2²³ = 1057128277553 is a prime.

It is a super-2 number, since 2×1057136666161² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057136666191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528568333080 + 528568333081.

It is an arithmetic number, because the mean of its divisors is an integer number (528568333081).

Almost surely, 2^{1057136666161} is an apocalyptic number.

It is an amenable number.

1057136666161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057136666161 is an equidigital number, since it uses as much as digits as its factorization.

1057136666161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 1057136666161 in words is "one trillion, fifty-seven billion, one hundred thirty-six million, six hundred sixty-six thousand, one hundred sixty-one".