521152 has 28 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 244736.

The previous prime is 521137. The next prime is 521153. The reversal of 521152 is 251125.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521153) by changing a digit.

521152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 849 + ... + 1327.

2⁵²¹¹⁵² 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 521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

521152 is an abundant number, since it is smaller than the sum of its proper divisors (576128).

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

521152 is a wasteful number, since it uses less digits than its factorization.

521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 521152 is about 721.9085814700. The cubic root of 521152 is about 80.4738544002.

Adding to 521152 its reverse (251125), we get a palindrome (772277).

The spelling of 521152 in words is "five hundred twenty-one thousand, one hundred fifty-two".