536512 has 28 divisors (see below), whose sum is σ = 1088136. Its totient is φ = 262400.

The previous prime is 536509. The next prime is 536513. The reversal of 536512 is 215635.

It is a happy number.

It is a super-2 number, since 2×536512² = 575690252288, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536513) 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, 5262 + ... + 5362.

It is an arithmetic number, because the mean of its divisors is an integer number (38862).

2⁵³⁶⁵¹² 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 536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544068).

536512 is an abundant number, since it is smaller than the sum of its proper divisors (551624).

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

536512 is a wasteful number, since it uses less digits than its factorization.

536512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

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

The square root of 536512 is about 732.4697945991. The cubic root of 536512 is about 81.2568183627.

The spelling of 536512 in words is "five hundred thirty-six thousand, five hundred twelve".