461456080513319 has 2 divisors, whose sum is σ = 461456080513320. Its totient is φ = 461456080513318.

The previous prime is 461456080513297. The next prime is 461456080513343. The reversal of 461456080513319 is 913315080654164.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 461456080513319 - 2²⁸ = 461455812077863 is a prime.

It is a super-2 number, since 2×461456080513319² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461456080543319) 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, 230728040256659 + 230728040256660.

It is an arithmetic number, because the mean of its divisors is an integer number (230728040256660).

Almost surely, 2^{461456080513319} is an apocalyptic number.

461456080513319 is a deficient number, since it is larger than the sum of its proper divisors (1).

461456080513319 is an equidigital number, since it uses as much as digits as its factorization.

461456080513319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 461456080513319 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, eighty million, five hundred thirteen thousand, three hundred nineteen".