257703041 has 2 divisors, whose sum is σ = 257703042. Its totient is φ = 257703040.

The previous prime is 257703001. The next prime is 257703053. The reversal of 257703041 is 140307752.

257703041 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., 256128016 + 1575025 = 16004^2 + 1255^2 .

It is a cyclic number.

It is not a de Polignac number, because 257703041 - 2¹⁰ = 257702017 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 257702995 and 257703013.

It is not a weakly prime, because it can be changed into another prime (257703001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128851520 + 128851521.

It is an arithmetic number, because the mean of its divisors is an integer number (128851521).

Almost surely, 2^257703041 is an apocalyptic number.

It is an amenable number.

257703041 is a deficient number, since it is larger than the sum of its proper divisors (1).

257703041 is an equidigital number, since it uses as much as digits as its factorization.

257703041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 257703041 is about 16053.1318128271. The cubic root of 257703041 is about 636.3653355372.

The spelling of 257703041 in words is "two hundred fifty-seven million, seven hundred three thousand, forty-one".