525 has 12 divisors (see below), whose sum is σ = 992. Its totient is φ = 240.

The previous prime is 523. The next prime is 541.

525 = T_{6} + T_{7} + ... +
T_{14}.

525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525 - 2^{1} = 523 is a prime.

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

It is a Duffinian number.

525 is an undulating number in base 10.

It is a Curzon number.

It is a plaindrome in base 6 and base 12.

It is a nialpdrome in base 5 and base 9.

It is a zygodrome in base 6.

It is a self number, because there is not a number *n* which added to its sum of digits gives 525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521) 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, 72 + ... + 78.

It is an amenable number.

525 is a deficient number, since it is larger than the sum of its proper divisors (467).

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

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

The sum of its prime factors is 20 (or 15 counting only the distinct ones).

The product of its digits is 50, while the sum is 12.

The square root of 525 is about 22.9128784748. The cubic root of 525 is about 8.0671432301.

Adding to 525 its product of digits (50), we get a palindrome (575).

It can be divided in two parts, 5 and 25, that multiplied together give a cube (125 = 5^{3}).

The spelling of 525 in words is "five hundred twenty-five", and thus it is an aban number and an oban number.

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