10525 has 6 divisors (see below), whose sum is σ = 13082. Its totient is φ = 8400.

The previous prime is 10513. The next prime is 10529. The reversal of 10525 is 52501.

10525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 121 + 10404 = 11^2 + 102^2 .

It is not a de Polignac number, because 10525 - 2¹³ = 2333 is a prime.

It is a super-2 number, since 2×10525² = 221551250, which contains 22 as substring.

It is an Ulam number.

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

It is a Duffinian number.

10525 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529) 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 5 ways as a sum of consecutive naturals, for example, 186 + ... + 235.

10525 is a Friedman number, since it can be written as 2105*5, using all its digits and the basic arithmetic operations.

2¹⁰⁵²⁵ is an apocalyptic number.

It is an amenable number.

10525 is a deficient number, since it is larger than the sum of its proper divisors (2557).

10525 is an equidigital number, since it uses as much as digits as its factorization.

10525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 10525 is about 102.5914226434. The cubic root of 10525 is about 21.9149609690.

It can be divided in two parts, 10 and 525, that added together give a palindrome (535).

The spelling of 10525 in words is "ten thousand, five hundred twenty-five".