257142856309 has 2 divisors, whose sum is σ = 257142856310. Its totient is φ = 257142856308.

The previous prime is 257142856291. The next prime is 257142856343. The reversal of 257142856309 is 903658241752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217850895025 + 39291961284 = 466745^2 + 198222^2 .

It is a cyclic number.

It is not a de Polignac number, because 257142856309 - 2⁷ = 257142856181 is a prime.

It is a super-2 number, since 2×257142856309² (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 (257142856379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128571428154 + 128571428155.

It is an arithmetic number, because the mean of its divisors is an integer number (128571428155).

It is a 1-persistent number, because it is pandigital, but 2⋅257142856309 = 514285712618 is not.

Almost surely, 2^257142856309 is an apocalyptic number.

It is an amenable number.

257142856309 is a deficient number, since it is larger than the sum of its proper divisors (1).

257142856309 is an equidigital number, since it uses as much as digits as its factorization.

257142856309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 257142856309 in words is "two hundred fifty-seven billion, one hundred forty-two million, eight hundred fifty-six thousand, three hundred nine".