52525 has 12 divisors (see below), whose sum is σ = 71424. Its totient is φ = 38000.

The previous prime is 52517. The next prime is 52529.

52525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52525 - 2³ = 52517 is a prime.

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

It is a Duffinian number.

52525 is an undulating number in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180 + ... + 370.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2⁵²⁵²⁵ is an apocalyptic number.

52525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52525 is a deficient number, since it is larger than the sum of its proper divisors (18899).

52525 is a wasteful number, since it uses less digits than its factorization.

52525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its digits is 500, while the sum is 19.

The square root of 52525 is about 229.1833327273. The cubic root of 52525 is about 37.4503045424.

Subtracting from 52525 its product of digits (500), we obtain a palindrome (52025).

The spelling of 52525 in words is "fifty-two thousand, five hundred twenty-five".