4123301257 has 2 divisors, whose sum is σ = 4123301258. Its totient is φ = 4123301256.

The previous prime is 4123301233. The next prime is 4123301263. The reversal of 4123301257 is 7521033214.

4123301257 is digitally balanced in base 2, 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., 3625966656 + 497334601 = 60216^2 + 22301^2 .

It is a cyclic number.

It is not a de Polignac number, because 4123301257 - 2¹⁹ = 4122776969 is a prime.

It is a super-3 number, since 3×4123301257³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4123301557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2061650628 + 2061650629.

It is an arithmetic number, because the mean of its divisors is an integer number (2061650629).

Almost surely, 2^4123301257 is an apocalyptic number.

It is an amenable number.

4123301257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4123301257 is an equidigital number, since it uses as much as digits as its factorization.

4123301257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 4123301257 is about 64212.9368351892. The cubic root of 4123301257 is about 1603.5469821847.

The spelling of 4123301257 in words is "four billion, one hundred twenty-three million, three hundred one thousand, two hundred fifty-seven".