257452242137 has 2 divisors, whose sum is σ = 257452242138. Its totient is φ = 257452242136.

The previous prime is 257452242127. The next prime is 257452242161. The reversal of 257452242137 is 731242254752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197068517776 + 60383724361 = 443924^2 + 245731^2 .

It is a cyclic number.

It is not a de Polignac number, because 257452242137 - 2¹⁶ = 257452176601 is a prime.

It is not a weakly prime, because it can be changed into another prime (257452242127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128726121068 + 128726121069.

It is an arithmetic number, because the mean of its divisors is an integer number (128726121069).

Almost surely, 2^257452242137 is an apocalyptic number.

It is an amenable number.

257452242137 is a deficient number, since it is larger than the sum of its proper divisors (1).

257452242137 is an equidigital number, since it uses as much as digits as its factorization.

257452242137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 940800, while the sum is 44.

Adding to 257452242137 its reverse (731242254752), we get a palindrome (988694496889).

The spelling of 257452242137 in words is "two hundred fifty-seven billion, four hundred fifty-two million, two hundred forty-two thousand, one hundred thirty-seven".