521435553552 has 120 divisors (see below), whose sum is σ = 1523543112000. Its totient is φ = 166167454464.

The previous prime is 521435553493. The next prime is 521435553629. The reversal of 521435553552 is 255355534125.

It is a happy number.

521435553552 is a `hidden beast` number, since 5 + 2 + 1 + 43 + 5 + 5 + 53 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 521435553498 and 521435553507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6414699 + ... + 6495477.

It is an arithmetic number, because the mean of its divisors is an integer number (12696192600).

Almost surely, 2^521435553552 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 521435553552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761771556000).

521435553552 is an abundant number, since it is smaller than the sum of its proper divisors (1002107558448).

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

521435553552 is a wasteful number, since it uses less digits than its factorization.

521435553552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82765 (or 82756 counting only the distinct ones).

The product of its digits is 2250000, while the sum is 45.

The spelling of 521435553552 in words is "five hundred twenty-one billion, four hundred thirty-five million, five hundred fifty-three thousand, five hundred fifty-two".