257705142011 has 2 divisors, whose sum is σ = 257705142012. Its totient is φ = 257705142010.

The previous prime is 257705141989. The next prime is 257705142031. The reversal of 257705142011 is 110241507752.

257705142011 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 is a cyclic number.

It is not a de Polignac number, because 257705142011 - 2¹⁴ = 257705125627 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (257705142031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128852571005 + 128852571006.

It is an arithmetic number, because the mean of its divisors is an integer number (128852571006).

Almost surely, 2^257705142011 is an apocalyptic number.

257705142011 is a deficient number, since it is larger than the sum of its proper divisors (1).

257705142011 is an equidigital number, since it uses as much as digits as its factorization.

257705142011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19600, while the sum is 35.

Adding to 257705142011 its reverse (110241507752), we get a palindrome (367946649763).

The spelling of 257705142011 in words is "two hundred fifty-seven billion, seven hundred five million, one hundred forty-two thousand, eleven".