527 has 4 divisors (see below), whose sum is σ = 576. Its totient is φ = 480.

The previous prime is 523. The next prime is 541. The reversal of 527 is 725.

527 is nontrivially palindromic in base 15.

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

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 a cyclic number.

It is not a de Polignac number, because 527 - 2^{2} = 523 is a prime.

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

It is a Duffinian number.

527 is an undulating number in base 15.

It is a plaindrome in base 6, base 12 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 527.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 32.

It is an arithmetic number, because the mean of its divisors is an integer number (144).

527 is a deficient number, since it is larger than the sum of its proper divisors (49).

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

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

The sum of its prime factors is 48.

The product of its digits is 70, while the sum is 14.

The square root of 527 is about 22.9564805665. The cubic root of 527 is about 8.0773742407.

It can be divided in two parts, 5 and 27, that added together give a 5-th power (32 = 2^{5}).

The spelling of 527 in words is "five hundred twenty-seven", and thus it is an aban number and an oban number.

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