416090490566521 has 2 divisors, whose sum is σ = 416090490566522. Its totient is φ = 416090490566520.

The previous prime is 416090490566449. The next prime is 416090490566539. The reversal of 416090490566521 is 125665094090614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383402285196921 + 32688205369600 = 19580661^2 + 5717360^2 .

It is a cyclic number.

It is not a de Polignac number, because 416090490566521 - 2²⁵ = 416090457012089 is a prime.

It is not a weakly prime, because it can be changed into another prime (416090490566561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208045245283260 + 208045245283261.

It is an arithmetic number, because the mean of its divisors is an integer number (208045245283261).

Almost surely, 2^{416090490566521} is an apocalyptic number.

It is an amenable number.

416090490566521 is a deficient number, since it is larger than the sum of its proper divisors (1).

416090490566521 is an equidigital number, since it uses as much as digits as its factorization.

416090490566521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 416090490566521 in words is "four hundred sixteen trillion, ninety billion, four hundred ninety million, five hundred sixty-six thousand, five hundred twenty-one".