521284425984 has 288 divisors, whose sum is σ = 1765445642240. Its totient is φ = 148625860608.

The previous prime is 521284425983. The next prime is 521284426007. The reversal of 521284425984 is 489524482125.

It is a happy number.

521284425984 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 8 + 4 + 42 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 521284425984.

It is not an unprimeable number, because it can be changed into a prime (521284425983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23551947 + ... + 23574069.

Almost surely, 2^521284425984 is an apocalyptic number.

521284425984 is a gapful number since it is divisible by the number (54) 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 521284425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882722821120).

521284425984 is an abundant number, since it is smaller than the sum of its proper divisors (1244161216256).

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

521284425984 is a wasteful number, since it uses less digits than its factorization.

521284425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22642 (or 22622 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 521284425984 in words is "five hundred twenty-one billion, two hundred eighty-four million, four hundred twenty-five thousand, nine hundred eighty-four".