57013 has 8 divisors (see below), whose sum is σ = 63936. Its totient is φ = 50400.

The previous prime is 56999. The next prime is 57037. The reversal of 57013 is 31075.

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

It is a cyclic number.

It is not a de Polignac number, because 57013 - 2⁹ = 56501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57073) 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 7 ways as a sum of consecutive naturals, for example, 745 + ... + 817.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

2⁵⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

57013 is a deficient number, since it is larger than the sum of its proper divisors (6923).

57013 is a wasteful number, since it uses less digits than its factorization.

57013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 57013 is about 238.7739516782. The cubic root of 57013 is about 38.4879368515.

Adding to 57013 its reverse (31075), we get a palindrome (88088).

The spelling of 57013 in words is "fifty-seven thousand, thirteen".