4163131681 has 2 divisors, whose sum is σ = 4163131682. Its totient is φ = 4163131680.

The previous prime is 4163131619. The next prime is 4163131697. The reversal of 4163131681 is 1861313614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2134440000 + 2028691681 = 46200^2 + 45041^2 .

It is a cyclic number.

It is not a de Polignac number, because 4163131681 - 2²⁷ = 4028913953 is a prime.

It is a super-2 number, since 2×4163131681² = 34663330786691771522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4163131481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2081565840 + 2081565841.

It is an arithmetic number, because the mean of its divisors is an integer number (2081565841).

Almost surely, 2^4163131681 is an apocalyptic number.

It is an amenable number.

4163131681 is a deficient number, since it is larger than the sum of its proper divisors (1).

4163131681 is an equidigital number, since it uses as much as digits as its factorization.

4163131681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 34.

The square root of 4163131681 is about 64522.3347454197. The cubic root of 4163131681 is about 1608.6937801052.

The spelling of 4163131681 in words is "four billion, one hundred sixty-three million, one hundred thirty-one thousand, six hundred eighty-one".