257705142031 has 2 divisors, whose sum is σ = 257705142032. Its totient is φ = 257705142030.

The previous prime is 257705142011. The next prime is 257705142091. The reversal of 257705142031 is 130241507752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257705142031 - 2¹³ = 257705133839 is a prime.

It is a super-2 number, since 2×257705142031² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257705142011) 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, 128852571015 + 128852571016.

It is an arithmetic number, because the mean of its divisors is an integer number (128852571016).

Almost surely, 2^257705142031 is an apocalyptic number.

257705142031 is a deficient number, since it is larger than the sum of its proper divisors (1).

257705142031 is an equidigital number, since it uses as much as digits as its factorization.

257705142031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 37.

Adding to 257705142031 its reverse (130241507752), we get a palindrome (387946649783).

The spelling of 257705142031 in words is "two hundred fifty-seven billion, seven hundred five million, one hundred forty-two thousand, thirty-one".