521407973424 has 160 divisors (see below), whose sum is σ = 1517087900160. Its totient is φ = 153109592064.

The previous prime is 521407973417. The next prime is 521407973441. The reversal of 521407973424 is 424379704125.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6316932 + ... + 6398940.

It is an arithmetic number, because the mean of its divisors is an integer number (9481799376).

Almost surely, 2^521407973424 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 521407973424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758543950080).

521407973424 is an abundant number, since it is smaller than the sum of its proper divisors (995679926736).

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

521407973424 is a wasteful number, since it uses less digits than its factorization.

521407973424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82499 (or 82493 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 521407973424 in words is "five hundred twenty-one billion, four hundred seven million, nine hundred seventy-three thousand, four hundred twenty-four".