52030 has 24 divisors (see below), whose sum is σ = 105336. Its totient is φ = 18480.

The previous prime is 52027. The next prime is 52051. The reversal of 52030 is 3025.

52030 = T₁₃ + T₁₄ + ... + T₆₇.

52030 = 100² + 101² + ... + 104².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 51998 and 52016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1189 + ... + 1231.

It is an arithmetic number, because the mean of its divisors is an integer number (4389).

2⁵²⁰³⁰ is an apocalyptic number.

52030 is an abundant number, since it is smaller than the sum of its proper divisors (53306).

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 (52668).

52030 is a wasteful number, since it uses less digits than its factorization.

52030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 52030 is about 228.1008548866. The cubic root of 52030 is about 37.3322880943.

Adding to 52030 its reverse (3025), we get a palindrome (55055).

The spelling of 52030 in words is "fifty-two thousand, thirty", and thus it is an eban number.