513521 has 8 divisors (see below), whose sum is σ = 544320. Its totient is φ = 483472.

The previous prime is 513511. The next prime is 513529. The reversal of 513521 is 125315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513521 - 2¹⁰ = 512497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513521.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513521.

It is not an unprimeable number, because it can be changed into a prime (513529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2⁵¹³⁵²¹ is an apocalyptic number.

It is an amenable number.

513521 is a deficient number, since it is larger than the sum of its proper divisors (30799).

513521 is a wasteful number, since it uses less digits than its factorization.

513521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 150, while the sum is 17.

The square root of 513521 is about 716.6037956919. The cubic root of 513521 is about 80.0791404341.

Adding to 513521 its reverse (125315), we get a palindrome (638836).

The spelling of 513521 in words is "five hundred thirteen thousand, five hundred twenty-one".