521535072 has 96 divisors (see below), whose sum is σ = 1462164480. Its totient is φ = 162408960.

The previous prime is 521535071. The next prime is 521535083. The reversal of 521535072 is 270535125.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521535071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83283 + ... + 89325.

It is an arithmetic number, because the mean of its divisors is an integer number (15230880).

Almost surely, 2^521535072 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 521535072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731082240).

521535072 is an abundant number, since it is smaller than the sum of its proper divisors (940629408).

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

521535072 is a wasteful number, since it uses less digits than its factorization.

521535072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 521535072 is about 22837.1423781523. The cubic root of 521535072 is about 804.9356696661.

The spelling of 521535072 in words is "five hundred twenty-one million, five hundred thirty-five thousand, seventy-two".