257685171129 has 33 divisors (see below), whose sum is σ = 386710692303. Its totient is φ = 171707878512.

The previous prime is 257685171127. The next prime is 257685171137. The reversal of 257685171129 is 921171586752.

The square root of 257685171129 is 507627.

It is a perfect power (a square), and thus also a powerful number.

257685171129 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 8 + 517 + 112 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227074169529 + 30611001600 = 476523^2 + 174960^2 .

It is not a de Polignac number, because 257685171129 - 2¹ = 257685171127 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257685171127) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 123352317 + ... + 123354405.

Almost surely, 2^257685171129 is an apocalyptic number.

257685171129 is the 507627-th square number.

257685171129 is the 253814-th centered octagonal number.

It is an amenable number.

257685171129 is a deficient number, since it is larger than the sum of its proper divisors (129025521174).

257685171129 is an frugal number, since it uses more digits than its factorization.

257685171129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 2092 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 257685171129 in words is "two hundred fifty-seven billion, six hundred eighty-five million, one hundred seventy-one thousand, one hundred twenty-nine".