123525 has 30 divisors (see below), whose sum is σ = 232562. Its totient is φ = 64800.

The previous prime is 123517. The next prime is 123527. The reversal of 123525 is 525321.

It is a happy number.

123525 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 123201 = 18^2 + 351^2 .

It is not a de Polignac number, because 123525 - 2³ = 123517 is a prime.

It is a Duffinian number.

123525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 123498 and 123507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123527) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1995 + ... + 2055.

2¹²³⁵²⁵ is an apocalyptic number.

123525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123525 is a deficient number, since it is larger than the sum of its proper divisors (109037).

123525 is an equidigital number, since it uses as much as digits as its factorization.

123525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 123525 is about 351.4612354158. The cubic root of 123525 is about 49.8025546665.

Adding to 123525 its reverse (525321), we get a palindrome (648846).

The spelling of 123525 in words is "one hundred twenty-three thousand, five hundred twenty-five".