53058 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 17136.

The previous prime is 53051. The next prime is 53069. The reversal of 53058 is 85035.

53058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×53058³ = 448098903213336, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (53051) by changing a digit.

53058 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁵³⁰⁵⁸ is an apocalyptic number.

53058 is an abundant number, since it is smaller than the sum of its proper divisors (56382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

53058 is a wasteful number, since it uses less digits than its factorization.

53058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 53058 is about 230.3432221707. The cubic root of 53058 is about 37.5765547214.

The spelling of 53058 in words is "fifty-three thousand, fifty-eight".