521482752 has 320 divisors, whose sum is σ = 1873808640. Its totient is φ = 139788288.

The previous prime is 521482711. The next prime is 521482757. The reversal of 521482752 is 257284125.

It is a happy number.

521482752 is a `hidden beast` number, since 521 + 4 + 82 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (521482757) 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 31 ways as a sum of consecutive naturals, for example, 1644898 + ... + 1645214.

It is an arithmetic number, because the mean of its divisors is an integer number (5855652).

Almost surely, 2^521482752 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 521482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936904320).

521482752 is an abundant number, since it is smaller than the sum of its proper divisors (1352325888).

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

521482752 is a wasteful number, since it uses less digits than its factorization.

521482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 521482752 is about 22835.9968470833. The cubic root of 521482752 is about 804.9087519221.

The spelling of 521482752 in words is "five hundred twenty-one million, four hundred eighty-two thousand, seven hundred fifty-two".