59052 has 48 divisors (see below), whose sum is σ = 170240. Its totient is φ = 15552.

The previous prime is 59051. The next prime is 59053. The reversal of 59052 is 25095.

59052 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (59051) and next prime (59053).

It is a Harshad number since it is a multiple of its sum of digits (21).

59052 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1578 + ... + 1614.

59052 is a Friedman number, since it can be written as 9^5+5-2-0, using all its digits and the basic arithmetic operations.

2⁵⁹⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85120).

59052 is an abundant number, since it is smaller than the sum of its proper divisors (111188).

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

59052 is a wasteful number, since it uses less digits than its factorization.

59052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 59052 is about 243.0061727611. The cubic root of 59052 is about 38.9413978520.

The spelling of 59052 in words is "fifty-nine thousand, fifty-two".