257420041 has 2 divisors, whose sum is σ = 257420042. Its totient is φ = 257420040.

The previous prime is 257420011. The next prime is 257420047. The reversal of 257420041 is 140024752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246364416 + 11055625 = 15696^2 + 3325^2 .

It is a cyclic number.

It is not a de Polignac number, because 257420041 - 2¹⁹ = 256895753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257419988 and 257420015.

It is not a weakly prime, because it can be changed into another prime (257420047) 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, 128710020 + 128710021.

It is an arithmetic number, because the mean of its divisors is an integer number (128710021).

Almost surely, 2^257420041 is an apocalyptic number.

It is an amenable number.

257420041 is a deficient number, since it is larger than the sum of its proper divisors (1).

257420041 is an equidigital number, since it uses as much as digits as its factorization.

257420041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 257420041 is about 16044.3149121426. The cubic root of 257420041 is about 636.1323058806.

Adding to 257420041 its reverse (140024752), we get a palindrome (397444793).

The spelling of 257420041 in words is "two hundred fifty-seven million, four hundred twenty thousand, forty-one".