257435041 has 6 divisors (see below), whose sum is σ = 260581010. Its totient is φ = 254326608.

The previous prime is 257435039. The next prime is 257435051. The reversal of 257435041 is 140534752.

It can be written as a sum of positive squares in only one way, i.e., 243484816 + 13950225 = 15604^2 + 3735^2 .

It is not a de Polignac number, because 257435041 - 2¹ = 257435039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257434994 and 257435012.

It is not an unprimeable number, because it can be changed into a prime (257435051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11796 + ... + 25573.

Almost surely, 2^257435041 is an apocalyptic number.

It is an amenable number.

257435041 is a deficient number, since it is larger than the sum of its proper divisors (3145969).

257435041 is an frugal number, since it uses more digits than its factorization.

257435041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37535 (or 37452 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 257435041 is about 16044.7823606305. The cubic root of 257435041 is about 636.1446615610.

Adding to 257435041 its reverse (140534752), we get a palindrome (397969793).

The spelling of 257435041 in words is "two hundred fifty-seven million, four hundred thirty-five thousand, forty-one".