257807041 has 2 divisors, whose sum is σ = 257807042. Its totient is φ = 257807040.

The previous prime is 257807021. The next prime is 257807093. The reversal of 257807041 is 140708752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252142641 + 5664400 = 15879^2 + 2380^2 .

It is a cyclic number.

It is not a de Polignac number, because 257807041 - 2¹¹ = 257804993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257806988 and 257807006.

It is not a weakly prime, because it can be changed into another prime (257807021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128903520 + 128903521.

It is an arithmetic number, because the mean of its divisors is an integer number (128903521).

Almost surely, 2^257807041 is an apocalyptic number.

It is an amenable number.

257807041 is a deficient number, since it is larger than the sum of its proper divisors (1).

257807041 is an equidigital number, since it uses as much as digits as its factorization.

257807041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 257807041 is about 16056.3707294021. The cubic root of 257807041 is about 636.4509290091.

The spelling of 257807041 in words is "two hundred fifty-seven million, eight hundred seven thousand, forty-one".