413002344257 has 2 divisors, whose sum is σ = 413002344258. Its totient is φ = 413002344256.

The previous prime is 413002344199. The next prime is 413002344361. The reversal of 413002344257 is 752443200314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 397655098801 + 15347245456 = 630599^2 + 123884^2 .

It is a cyclic number.

It is not a de Polignac number, because 413002344257 - 2¹⁶ = 413002278721 is a prime.

It is not a weakly prime, because it can be changed into another prime (413002346257) 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, 206501172128 + 206501172129.

It is an arithmetic number, because the mean of its divisors is an integer number (206501172129).

Almost surely, 2^413002344257 is an apocalyptic number.

It is an amenable number.

413002344257 is a deficient number, since it is larger than the sum of its proper divisors (1).

413002344257 is an equidigital number, since it uses as much as digits as its factorization.

413002344257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 413002344257 in words is "four hundred thirteen billion, two million, three hundred forty-four thousand, two hundred fifty-seven".