257057127 has 12 divisors (see below), whose sum is σ = 372192184. Its totient is φ = 170961840.

The previous prime is 257057123. The next prime is 257057161. The reversal of 257057127 is 721750752.

It is not a de Polignac number, because 257057127 - 2² = 257057123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257057091 and 257057100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257057123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30133 + ... + 37710.

Almost surely, 2^257057127 is an apocalyptic number.

257057127 is a deficient number, since it is larger than the sum of its proper divisors (115135057).

257057127 is a wasteful number, since it uses less digits than its factorization.

257057127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68270 (or 68267 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 257057127 is about 16033.0011850558. The cubic root of 257057127 is about 635.8332228537.

The spelling of 257057127 in words is "two hundred fifty-seven million, fifty-seven thousand, one hundred twenty-seven".