407566682161 has 2 divisors, whose sum is σ = 407566682162. Its totient is φ = 407566682160.

The previous prime is 407566682113. The next prime is 407566682177. The reversal of 407566682161 is 161286665704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 325990753936 + 81575928225 = 570956^2 + 285615^2 .

It is a cyclic number.

It is not a de Polignac number, because 407566682161 - 2⁹ = 407566681649 is a prime.

It is a super-2 number, since 2×407566682161² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407566682099 and 407566682108.

It is not a weakly prime, because it can be changed into another prime (407566682101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203783341080 + 203783341081.

It is an arithmetic number, because the mean of its divisors is an integer number (203783341081).

Almost surely, 2^407566682161 is an apocalyptic number.

It is an amenable number.

407566682161 is a deficient number, since it is larger than the sum of its proper divisors (1).

407566682161 is an equidigital number, since it uses as much as digits as its factorization.

407566682161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 407566682161 in words is "four hundred seven billion, five hundred sixty-six million, six hundred eighty-two thousand, one hundred sixty-one".