413728974013 has 2 divisors, whose sum is σ = 413728974014. Its totient is φ = 413728974012.

The previous prime is 413728974011. The next prime is 413728974019. The reversal of 413728974013 is 310479827314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288500042884 + 125228931129 = 537122^2 + 353877^2 .

It is a cyclic number.

It is not a de Polignac number, because 413728974013 - 2¹ = 413728974011 is a prime.

Together with 413728974011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413728974011) 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, 206864487006 + 206864487007.

It is an arithmetic number, because the mean of its divisors is an integer number (206864487007).

Almost surely, 2^413728974013 is an apocalyptic number.

It is an amenable number.

413728974013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413728974013 is an equidigital number, since it uses as much as digits as its factorization.

413728974013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 413728974013 in words is "four hundred thirteen billion, seven hundred twenty-eight million, nine hundred seventy-four thousand, thirteen".