53521 has 8 divisors (see below), whose sum is σ = 60480. Its totient is φ = 46992.

The previous prime is 53507. The next prime is 53527. The reversal of 53521 is 12535.

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 53521 - 2¹¹ = 51473 is a prime.

It is a Duffinian number.

53521 is a lucky number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 53495 and 53504.

It is not an unprimeable number, because it can be changed into a prime (53527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁵³⁵²¹ is an apocalyptic number.

It is an amenable number.

53521 is a deficient number, since it is larger than the sum of its proper divisors (6959).

53521 is a wasteful number, since it uses less digits than its factorization.

53521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its digits is 150, while the sum is 16.

The square root of 53521 is about 231.3460611292. The cubic root of 53521 is about 37.6855397453.

The spelling of 53521 in words is "fifty-three thousand, five hundred twenty-one".