404217315413 has 2 divisors, whose sum is σ = 404217315414. Its totient is φ = 404217315412.

The previous prime is 404217315377. The next prime is 404217315419. The reversal of 404217315413 is 314513712404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285346135684 + 118871179729 = 534178^2 + 344777^2 .

It is a cyclic number.

It is not a de Polignac number, because 404217315413 - 2⁶ = 404217315349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404217315419) 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, 202108657706 + 202108657707.

It is an arithmetic number, because the mean of its divisors is an integer number (202108657707).

Almost surely, 2^404217315413 is an apocalyptic number.

It is an amenable number.

404217315413 is a deficient number, since it is larger than the sum of its proper divisors (1).

404217315413 is an equidigital number, since it uses as much as digits as its factorization.

404217315413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 404217315413 in words is "four hundred four billion, two hundred seventeen million, three hundred fifteen thousand, four hundred thirteen".