461601566073601 has 2 divisors, whose sum is σ = 461601566073602. Its totient is φ = 461601566073600.

The previous prime is 461601566073559. The next prime is 461601566073617. The reversal of 461601566073601 is 106370665106164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235681908244225 + 225919657829376 = 15351935^2 + 15030624^2 .

It is a cyclic number.

It is not a de Polignac number, because 461601566073601 - 2⁴⁷ = 320864077718273 is a prime.

It is not a weakly prime, because it can be changed into another prime (461601566077601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230800783036800 + 230800783036801.

It is an arithmetic number, because the mean of its divisors is an integer number (230800783036801).

Almost surely, 2^{461601566073601} is an apocalyptic number.

It is an amenable number.

461601566073601 is a deficient number, since it is larger than the sum of its proper divisors (1).

461601566073601 is an equidigital number, since it uses as much as digits as its factorization.

461601566073601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 461601566073601 in words is "four hundred sixty-one trillion, six hundred one billion, five hundred sixty-six million, seventy-three thousand, six hundred one".