57052 has 12 divisors (see below), whose sum is σ = 105840. Its totient is φ = 26816.

The previous prime is 57047. The next prime is 57059. The reversal of 57052 is 25075.

It is a happy number.

57052 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57059) by changing a digit.

57052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 352 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁵⁷⁰⁵² is an apocalyptic number.

It is an amenable number.

57052 is a deficient number, since it is larger than the sum of its proper divisors (48788).

57052 is a wasteful number, since it uses less digits than its factorization.

57052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 57052 is about 238.8556049164. The cubic root of 57052 is about 38.4967108001.

The spelling of 57052 in words is "fifty-seven thousand, fifty-two".