461617753071361 has 2 divisors, whose sum is σ = 461617753071362. Its totient is φ = 461617753071360.

The previous prime is 461617753071347. The next prime is 461617753071421. The reversal of 461617753071361 is 163170357716164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335046702926961 + 126571050144400 = 18304281^2 + 11250380^2 .

It is a cyclic number.

It is not a de Polignac number, because 461617753071361 - 2³³ = 461609163136769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461617753071296 and 461617753071305.

It is not a weakly prime, because it can be changed into another prime (461617753072361) 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, 230808876535680 + 230808876535681.

It is an arithmetic number, because the mean of its divisors is an integer number (230808876535681).

Almost surely, 2^{461617753071361} is an apocalyptic number.

It is an amenable number.

461617753071361 is a deficient number, since it is larger than the sum of its proper divisors (1).

461617753071361 is an equidigital number, since it uses as much as digits as its factorization.

461617753071361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13335840, while the sum is 58.

The spelling of 461617753071361 in words is "four hundred sixty-one trillion, six hundred seventeen billion, seven hundred fifty-three million, seventy-one thousand, three hundred sixty-one".