521752 has 48 divisors (see below), whose sum is σ = 1251720. Its totient is φ = 203280.

The previous prime is 521749. The next prime is 521753. The reversal of 521752 is 257125.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5 + 2¹⁶ + 7² + 1 + 5⁸ + 2¹⁶ .

Its product of digits (700) is a multiple of the sum of its prime divisors (20).

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 (521753) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47427 + ... + 47437.

2⁵²¹⁷⁵² 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 521752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625860).

521752 is an abundant number, since it is smaller than the sum of its proper divisors (729968).

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

521752 is a wasteful number, since it uses less digits than its factorization.

521752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 20 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 521752 is about 722.3240270128. The cubic root of 521752 is about 80.5047256205.

Multiplying 521752 by its sum of digits (22), we get a square (11478544 = 3388²).

521752 divided by its sum of digits (22) gives a square (23716 = 154²).

Adding to 521752 its reverse (257125), we get a palindrome (778877).

The spelling of 521752 in words is "five hundred twenty-one thousand, seven hundred fifty-two".