257717137 has 2 divisors, whose sum is σ = 257717138. Its totient is φ = 257717136.

The previous prime is 257717129. The next prime is 257717177. The reversal of 257717137 is 731717752.

It is a happy number.

It is an a-pointer prime, because the next prime (257717177) can be obtained adding 257717137 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255712081 + 2005056 = 15991^2 + 1416^2 .

It is a cyclic number.

It is not a de Polignac number, because 257717137 - 2³ = 257717129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257717137.

It is not a weakly prime, because it can be changed into another prime (257717177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128858568 + 128858569.

It is an arithmetic number, because the mean of its divisors is an integer number (128858569).

Almost surely, 2^257717137 is an apocalyptic number.

It is an amenable number.

257717137 is a deficient number, since it is larger than the sum of its proper divisors (1).

257717137 is an equidigital number, since it uses as much as digits as its factorization.

257717137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72030, while the sum is 40.

The square root of 257717137 is about 16053.5708488797. The cubic root of 257717137 is about 636.3769380936.

The spelling of 257717137 in words is "two hundred fifty-seven million, seven hundred seventeen thousand, one hundred thirty-seven".