4257341813 has 2 divisors, whose sum is σ = 4257341814. Its totient is φ = 4257341812.

The previous prime is 4257341797. The next prime is 4257341819. The reversal of 4257341813 is 3181437524.

4257341813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2679822289 + 1577519524 = 51767^2 + 39718^2 .

It is a cyclic number.

It is not a de Polignac number, because 4257341813 - 2⁴ = 4257341797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4257341819) 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, 2128670906 + 2128670907.

It is an arithmetic number, because the mean of its divisors is an integer number (2128670907).

Almost surely, 2^4257341813 is an apocalyptic number.

It is an amenable number.

4257341813 is a deficient number, since it is larger than the sum of its proper divisors (1).

4257341813 is an equidigital number, since it uses as much as digits as its factorization.

4257341813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 38.

The square root of 4257341813 is about 65248.3088899628. The cubic root of 4257341813 is about 1620.7380944153.

The spelling of 4257341813 in words is "four billion, two hundred fifty-seven million, three hundred forty-one thousand, eight hundred thirteen".