461457604053701 has 2 divisors, whose sum is σ = 461457604053702. Its totient is φ = 461457604053700.

The previous prime is 461457604053679. The next prime is 461457604053703. The reversal of 461457604053701 is 107350406754164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386486700340225 + 74970903713476 = 19659265^2 + 8658574^2 .

It is a cyclic number.

It is not a de Polignac number, because 461457604053701 - 2²⁶ = 461457536944837 is a prime.

Together with 461457604053703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461457604053703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230728802026850 + 230728802026851.

It is an arithmetic number, because the mean of its divisors is an integer number (230728802026851).

Almost surely, 2^{461457604053701} is an apocalyptic number.

It is an amenable number.

461457604053701 is a deficient number, since it is larger than the sum of its proper divisors (1).

461457604053701 is an equidigital number, since it uses as much as digits as its factorization.

461457604053701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 461457604053701 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred four million, fifty-three thousand, seven hundred one".