52548 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 16800.

The previous prime is 52543. The next prime is 52553. The reversal of 52548 is 84525.

It is an interprime number because it is at equal distance from previous prime (52543) and next prime (52553).

It is a super-2 number, since 2×52548² = 5522584608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52541) 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, 273 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁵²⁵⁴⁸ is an apocalyptic number.

52548 is a gapful number since it is divisible by the number (58) 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 52548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

52548 is an abundant number, since it is smaller than the sum of its proper divisors (75132).

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

52548 is a wasteful number, since it uses less digits than its factorization.

52548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 52548 is about 229.2335054044. The cubic root of 52548 is about 37.4557700751.

It can be divided in two parts, 525 and 48, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 52548 in words is "fifty-two thousand, five hundred forty-eight".