52025 has 6 divisors (see below), whose sum is σ = 64542. Its totient is φ = 41600.

The previous prime is 52021. The next prime is 52027.

52025 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 1849 + 50176 = 43^2 + 224^2 .

It is not a de Polignac number, because 52025 - 2² = 52021 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1016 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (10757).

2⁵²⁰²⁵ is an apocalyptic number.

It is an amenable number.

52025 is a deficient number, since it is larger than the sum of its proper divisors (12517).

52025 is a wasteful number, since it uses less digits than its factorization.

52025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 52025 is about 228.0898945591. The cubic root of 52025 is about 37.3310921982.

Adding to 52025 its product of nonzero digits (100), we get a palindrome (52125).

It can be divided in two parts, 520 and 25, that added together give a palindrome (545).

The spelling of 52025 in words is "fifty-two thousand, twenty-five".