521352 has 48 divisors (see below), whose sum is σ = 1523340. Its totient is φ = 160128.

The previous prime is 521329. The next prime is 521357. The reversal of 521352 is 253125.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 427716 + 93636 = 654^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (521357) by changing a digit.

521352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658 + ... + 1214.

2⁵²¹³⁵² is an apocalyptic number.

521352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761670).

521352 is an abundant number, since it is smaller than the sum of its proper divisors (1001988).

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

521352 is a wasteful number, since it uses less digits than its factorization.

521352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 575 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 521352 is about 722.0470898771. The cubic root of 521352 is about 80.4841474385.

Adding to 521352 its reverse (253125), we get a palindrome (774477).

The spelling of 521352 in words is "five hundred twenty-one thousand, three hundred fifty-two".