• 524 can be written using four 4's:

See also 113.

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524 has 6 divisors (see below), whose sum is σ = 924. Its totient is φ = 260.

The previous prime is 523. The next prime is 541. The reversal of 524 is 425.

524 is nontrivially palindromic in base 3.

524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 7, base 12 and base 15.

It is a nialpdrome in base 9.

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 as a sum of consecutive naturals, namely, 62 + ... + 69.

It is an arithmetic number, because the mean of its divisors is an integer number (154).

It is an amenable number.

524 is a deficient number, since it is larger than the sum of its proper divisors (400).

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

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

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its digits is 40, while the sum is 11.

The square root of 524 is about 22.8910462845. The cubic root of 524 is about 8.0620179789.

Adding to 524 its sum of digits (11), we get a palindrome (535).

Subtracting from 524 its product of digits (40), we obtain a palindrome (484).

Adding to 524 its reverse (425), we get a palindrome (949).

Subtracting from 524 its reverse (425), we obtain a palindrome (99).

It can be divided in two parts, 5 and 24, that multiplied together give a triangular number (120 = T₁₅).

The spelling of 524 in words is "five hundred twenty-four", and thus it is an aban number.