521953056 has 72 divisors (see below), whose sum is σ = 1490711040. Its totient is φ = 173233536.

The previous prime is 521952979. The next prime is 521953067. The reversal of 521953056 is 650359125.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 521953056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65041 + ... + 72623.

It is an arithmetic number, because the mean of its divisors is an integer number (20704320).

Almost surely, 2^521953056 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 521953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745355520).

521953056 is an abundant number, since it is smaller than the sum of its proper divisors (968757984).

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

521953056 is a wasteful number, since it uses less digits than its factorization.

521953056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 521953056 is about 22846.2919529625. The cubic root of 521953056 is about 805.1506506625.

The spelling of 521953056 in words is "five hundred twenty-one million, nine hundred fifty-three thousand, fifty-six".