521745984 has 84 divisors (see below), whose sum is σ = 1560551616. Its totient is φ = 166349568.

The previous prime is 521745953. The next prime is 521746003. The reversal of 521745984 is 489547125.

521745984 is a `hidden beast` number, since 52 + 1 + 7 + 4 + 598 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6444 + ... + 32939.

Almost surely, 2^521745984 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 521745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780275808).

521745984 is an abundant number, since it is smaller than the sum of its proper divisors (1038805632).

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

521745984 is a wasteful number, since it uses less digits than its factorization.

521745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39424 (or 39411 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 521745984 is about 22841.7596520058. The cubic root of 521745984 is about 805.0441620256.

It can be divided in two parts, 521745 and 984, that added together give a square (522729 = 723²).

The spelling of 521745984 in words is "five hundred twenty-one million, seven hundred forty-five thousand, nine hundred eighty-four".