• 529 can be written using four 4's:

529 has 3 divisors (see below), whose sum is σ = 553. Its totient is φ = 506.

The previous prime is 523. The next prime is 541. The reversal of 529 is 925.

529 = T_{22} + T_{23}.

The square root of 529 is 23.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 529 - 2^{3} = 521 is a prime.

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

It is a pancake number, because a pancake can be divided into 529 parts by 32 straight cuts.

It is a Duffinian number.

529 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 11 and base 16.

It is not an unprimeable number, because it can be changed into a prime (521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12 + ... + 34.

2^{529} is an apocalyptic number.

529 is the 23-rd square number.

529 is the 12-th centered octagonal number.

It is an amenable number.

529 is a deficient number, since it is larger than the sum of its proper divisors (24).

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

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

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The cubic root of 529 is about 8.0875793991.

Adding to 529 its sum of digits (16), we get a palindrome (545).

Multiplying 529 by its sum of digits (16), we get a square (8464 = 92^{2}).

The spelling of 529 in words is "five hundred twenty-nine", and thus it is an aban number and an oban number.

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