57509 has 4 divisors (see below), whose sum is σ = 58080. Its totient is φ = 56940.

The previous prime is 57503. The next prime is 57527. The reversal of 57509 is 90575.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 57509 - 2⁴ = 57493 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2⁵⁷⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

57509 is a deficient number, since it is larger than the sum of its proper divisors (571).

57509 is a wasteful number, since it uses less digits than its factorization.

57509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 57509 is about 239.8103417286. The cubic root of 57509 is about 38.5992268094.

The spelling of 57509 in words is "fifty-seven thousand, five hundred nine".