413004012961 has 2 divisors, whose sum is σ = 413004012962. Its totient is φ = 413004012960.

The previous prime is 413004012931. The next prime is 413004013043. The reversal of 413004012961 is 169210400314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 391680712336 + 21323300625 = 625844^2 + 146025^2 .

It is a cyclic number.

It is not a de Polignac number, because 413004012961 - 2¹⁷ = 413003881889 is a prime.

It is not a weakly prime, because it can be changed into another prime (413004012931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206502006480 + 206502006481.

It is an arithmetic number, because the mean of its divisors is an integer number (206502006481).

Almost surely, 2^413004012961 is an apocalyptic number.

It is an amenable number.

413004012961 is a deficient number, since it is larger than the sum of its proper divisors (1).

413004012961 is an equidigital number, since it uses as much as digits as its factorization.

413004012961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 413004012961 in words is "four hundred thirteen billion, four million, twelve thousand, nine hundred sixty-one".