4257681541 has 2 divisors, whose sum is σ = 4257681542. Its totient is φ = 4257681540.

The previous prime is 4257681539. The next prime is 4257681551. The reversal of 4257681541 is 1451867524.

4257681541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3972780900 + 284900641 = 63030^2 + 16879^2 .

It is a cyclic number.

It is not a de Polignac number, because 4257681541 - 2¹ = 4257681539 is a prime.

Together with 4257681539, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4257681511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2128840770 + 2128840771.

It is an arithmetic number, because the mean of its divisors is an integer number (2128840771).

Almost surely, 2^4257681541 is an apocalyptic number.

It is an amenable number.

4257681541 is a deficient number, since it is larger than the sum of its proper divisors (1).

4257681541 is an equidigital number, since it uses as much as digits as its factorization.

4257681541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 268800, while the sum is 43.

The square root of 4257681541 is about 65250.9121851948. The cubic root of 4257681541 is about 1620.7812039024.

The spelling of 4257681541 in words is "four billion, two hundred fifty-seven million, six hundred eighty-one thousand, five hundred forty-one".