257857101 has 40 divisors (see below), whose sum is σ = 401882624. Its totient is φ = 164579040.

The previous prime is 257857099. The next prime is 257857147. The reversal of 257857101 is 101758752.

It is not a de Polignac number, because 257857101 - 2¹ = 257857099 is a prime.

It is a super-2 number, since 2×257857101² = 132980569072248402, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257857001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258135 + ... + 259131.

Almost surely, 2^257857101 is an apocalyptic number.

It is an amenable number.

257857101 is a deficient number, since it is larger than the sum of its proper divisors (144025523).

257857101 is a wasteful number, since it uses less digits than its factorization.

257857101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 257857101 is about 16057.9295365249. The cubic root of 257857101 is about 636.4921208909.

The spelling of 257857101 in words is "two hundred fifty-seven million, eight hundred fifty-seven thousand, one hundred one".