257142856181 has 2 divisors, whose sum is σ = 257142856182. Its totient is φ = 257142856180.

The previous prime is 257142856129. The next prime is 257142856193. The reversal of 257142856181 is 181658241752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171285065956 + 85857790225 = 413866^2 + 293015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257142856181 is a prime.

It is a super-2 number, since 2×257142856181² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257142856111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128571428090 + 128571428091.

It is an arithmetic number, because the mean of its divisors is an integer number (128571428091).

Almost surely, 2^257142856181 is an apocalyptic number.

It is an amenable number.

257142856181 is a deficient number, since it is larger than the sum of its proper divisors (1).

257142856181 is an equidigital number, since it uses as much as digits as its factorization.

257142856181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1075200, while the sum is 50.

The spelling of 257142856181 in words is "two hundred fifty-seven billion, one hundred forty-two million, eight hundred fifty-six thousand, one hundred eighty-one".