53020 has 24 divisors (see below), whose sum is σ = 121968. Its totient is φ = 19200.

The previous prime is 53017. The next prime is 53047. The reversal of 53020 is 2035.

It is a super-2 number, since 2×53020² = 5622240800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 52988 and 53006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (5082).

2⁵³⁰²⁰ 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 53020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984).

53020 is an abundant number, since it is smaller than the sum of its proper divisors (68948).

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

53020 is a wasteful number, since it uses less digits than its factorization.

53020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

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

The square root of 53020 is about 230.2607217916. The cubic root of 53020 is about 37.5675818358.

Adding to 53020 its reverse (2035), we get a palindrome (55055).

It can be divided in two parts, 5 and 3020, that added together give a square (3025 = 55²).

The spelling of 53020 in words is "fifty-three thousand, twenty".