257113 has 4 divisors (see below), whose sum is σ = 264100. Its totient is φ = 250128.

The previous prime is 257107. The next prime is 257123. The reversal of 257113 is 311752.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 227529 + 29584 = 477^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 257113 - 2¹⁷ = 126041 is a prime.

It is a super-2 number, since 2×257113² = 132214189538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3438 + ... + 3511.

It is an arithmetic number, because the mean of its divisors is an integer number (66025).

2²⁵⁷¹¹³ is an apocalyptic number.

It is an amenable number.

257113 is a deficient number, since it is larger than the sum of its proper divisors (6987).

257113 is an equidigital number, since it uses as much as digits as its factorization.

257113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986.

The product of its digits is 210, while the sum is 19.

The square root of 257113 is about 507.0631124426. The cubic root of 257113 is about 63.5879286980.

Adding to 257113 its reverse (311752), we get a palindrome (568865).

The spelling of 257113 in words is "two hundred fifty-seven thousand, one hundred thirteen".