257613117 has 8 divisors (see below), whose sum is σ = 343648224. Its totient is φ = 171660048.

The previous prime is 257613079. The next prime is 257613143. The reversal of 257613117 is 711316752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257613117 - 2¹¹ = 257611069 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257613017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12763 + ... + 26040.

It is an arithmetic number, because the mean of its divisors is an integer number (42956028).

Almost surely, 2^257613117 is an apocalyptic number.

It is an amenable number.

257613117 is a deficient number, since it is larger than the sum of its proper divisors (86035107).

257613117 is a wasteful number, since it uses less digits than its factorization.

257613117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41019.

The product of its digits is 8820, while the sum is 33.

The square root of 257613117 is about 16050.3307442557. The cubic root of 257613117 is about 636.2913082465.

Adding to 257613117 its reverse (711316752), we get a palindrome (968929869).

The spelling of 257613117 in words is "two hundred fifty-seven million, six hundred thirteen thousand, one hundred seventeen".