521536 has 28 divisors (see below), whose sum is σ = 1074420. Its totient is φ = 250880.

The previous prime is 521533. The next prime is 521537. The reversal of 521536 is 635125.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 207936 = 560^2 + 456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1716 + ... + 1996.

2⁵²¹⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537210).

521536 is an abundant number, since it is smaller than the sum of its proper divisors (552884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521536 is a wasteful number, since it uses less digits than its factorization.

521536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 521536 is about 722.1744941494. The cubic root of 521536 is about 80.4936147090.

The spelling of 521536 in words is "five hundred twenty-one thousand, five hundred thirty-six".