8201505312 has 960 divisors, whose sum is σ = 33809529600. Its totient is φ = 1881169920.

The previous prime is 8201505269. The next prime is 8201505329. The reversal of 8201505312 is 2135051028.

It is a happy number.

8201505312 is a `hidden beast` number, since 82 + 0 + 1 + 50 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75243114 + ... + 75243222.

It is an arithmetic number, because the mean of its divisors is an integer number (35218260).

Almost surely, 2^8201505312 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 8201505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904764800).

8201505312 is an abundant number, since it is smaller than the sum of its proper divisors (25608024288).

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

8201505312 is a wasteful number, since it uses less digits than its factorization.

8201505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8201505312 is about 90562.1626950240. The cubic root of 8201505312 is about 2016.6530622340.

The spelling of 8201505312 in words is "eight billion, two hundred one million, five hundred five thousand, three hundred twelve".