1461080958401 has 2 divisors, whose sum is σ = 1461080958402. Its totient is φ = 1461080958400.

The previous prime is 1461080958329. The next prime is 1461080958443. The reversal of 1461080958401 is 1048590801641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 931657370176 + 529423588225 = 965224^2 + 727615^2 .

It is an emirp because it is prime and its reverse (1048590801641) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1461080958401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1461080958101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 730540479200 + 730540479201.

It is an arithmetic number, because the mean of its divisors is an integer number (730540479201).

Almost surely, 2^{1461080958401} is an apocalyptic number.

It is an amenable number.

1461080958401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1461080958401 is an equidigital number, since it uses as much as digits as its factorization.

1461080958401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 1461080958401 in words is "one trillion, four hundred sixty-one billion, eighty million, nine hundred fifty-eight thousand, four hundred one".