5057 has 4 divisors (see below), whose sum is σ = 5460. Its totient is φ = 4656.

The previous prime is 5051. The next prime is 5059. The reversal of 5057 is 7505.

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 961 + 4096 = 31^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 5057 - 2⁶ = 4993 is a prime.

It is an Ulam number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (5051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

It is an amenable number.

5057 is a deficient number, since it is larger than the sum of its proper divisors (403).

5057 is a wasteful number, since it uses less digits than its factorization.

5057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 5057 is about 71.1125867902. The cubic root of 5057 is about 17.1644931843.

It can be divided in two parts, 505 and 7, that added together give a 9-th power (512 = 2⁹).

The spelling of 5057 in words is "five thousand, fifty-seven".