257705142017 has 16 divisors (see below), whose sum is σ = 277588321920. Its totient is φ = 238349799168.

The previous prime is 257705142011. The next prime is 257705142031. The reversal of 257705142017 is 710241507752.

It is a cyclic number.

It is not a de Polignac number, because 257705142017 - 2²⁶ = 257638033153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257705142011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851163 + ... + 2940159.

It is an arithmetic number, because the mean of its divisors is an integer number (17349270120).

Almost surely, 2^257705142017 is an apocalyptic number.

It is an amenable number.

257705142017 is a deficient number, since it is larger than the sum of its proper divisors (19883179903).

257705142017 is a wasteful number, since it uses less digits than its factorization.

257705142017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91960.

The product of its (nonzero) digits is 137200, while the sum is 41.

Adding to 257705142017 its reverse (710241507752), we get a palindrome (967946649769).

The spelling of 257705142017 in words is "two hundred fifty-seven billion, seven hundred five million, one hundred forty-two thousand, seventeen".