53010 has 48 divisors (see below), whose sum is σ = 149760. Its totient is φ = 12960.

The previous prime is 53003. The next prime is 53017. The reversal of 53010 is 1035.

53010 = T₆₅ + T₆₆ + ... + T₈₃.

53010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53003) and next prime (53017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 52983 and 53001.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53010.

It is not an unprimeable number, because it can be changed into a prime (53017) by changing a digit.

53010 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 23 ways as a sum of consecutive naturals, for example, 1695 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2⁵³⁰¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

53010 is an abundant number, since it is smaller than the sum of its proper divisors (96750).

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

53010 is a wasteful number, since it uses less digits than its factorization.

53010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 53010 is about 230.2390062522. The cubic root of 53010 is about 37.5652198375.

Adding to 53010 its reverse (1035), we get a palindrome (54045).

The spelling of 53010 in words is "fifty-three thousand, ten".