409857289313 has 2 divisors, whose sum is σ = 409857289314. Its totient is φ = 409857289312.

The previous prime is 409857289307. The next prime is 409857289363. The reversal of 409857289313 is 313982758904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380729723089 + 29127566224 = 617033^2 + 170668^2 .

It is a cyclic number.

It is not a de Polignac number, because 409857289313 - 2⁴ = 409857289297 is a prime.

It is not a weakly prime, because it can be changed into another prime (409857289363) 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, 204928644656 + 204928644657.

It is an arithmetic number, because the mean of its divisors is an integer number (204928644657).

Almost surely, 2^409857289313 is an apocalyptic number.

It is an amenable number.

409857289313 is a deficient number, since it is larger than the sum of its proper divisors (1).

409857289313 is an equidigital number, since it uses as much as digits as its factorization.

409857289313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 409857289313 in words is "four hundred nine billion, eight hundred fifty-seven million, two hundred eighty-nine thousand, three hundred thirteen".