57529 has 2 divisors, whose sum is σ = 57530. Its totient is φ = 57528.

The previous prime is 57527. The next prime is 57557. The reversal of 57529 is 92575.

57529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (57557) can be obtained adding 57529 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 2304 = 235^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 57529 - 2¹ = 57527 is a prime.

Together with 57527, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 57497 and 57506.

It is not a weakly prime, because it can be changed into another prime (57527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28764 + 28765.

It is an arithmetic number, because the mean of its divisors is an integer number (28765).

2⁵⁷⁵²⁹ is an apocalyptic number.

It is an amenable number.

57529 is a deficient number, since it is larger than the sum of its proper divisors (1).

57529 is an equidigital number, since it uses as much as digits as its factorization.

57529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3150, while the sum is 28.

The square root of 57529 is about 239.8520377233. The cubic root of 57529 is about 38.6037008631.

The spelling of 57529 in words is "fifty-seven thousand, five hundred twenty-nine".