53000 has 32 divisors (see below), whose sum is σ = 126360. Its totient is φ = 20800.

The previous prime is 52999. The next prime is 53003. The reversal of 53000 is 35.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 31684 = 146^2 + 178^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (53003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974 + ... + 1026.

2⁵³⁰⁰⁰ is an apocalyptic number.

53000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63180).

53000 is an abundant number, since it is smaller than the sum of its proper divisors (73360).

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

53000 is a wasteful number, since it uses less digits than its factorization.

53000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 53000 is about 230.2172886644. The cubic root of 53000 is about 37.5628575422.

Adding to 53000 its reverse (35), we get a palindrome (53035).

The spelling of 53000 in words is "fifty-three thousand".