52125 has 16 divisors (see below), whose sum is σ = 87360. Its totient is φ = 27600.

The previous prime is 52121. The next prime is 52127.

52125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52125 - 2² = 52121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁵²¹²⁵ is an apocalyptic number.

It is an amenable number.

52125 is a deficient number, since it is larger than the sum of its proper divisors (35235).

52125 is a wasteful number, since it uses less digits than its factorization.

52125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 52125 is about 228.3090011366. The cubic root of 52125 is about 37.3549955774.

Multiplying 52125 by its sum of digits (15), we get a triangular number (781875 = T₁₂₅₀).

Adding to 52125 its product of digits (100), we get a palindrome (52225).

Subtracting from 52125 its product of digits (100), we obtain a palindrome (52025).

The spelling of 52125 in words is "fifty-two thousand, one hundred twenty-five".