8509063500 has 384 divisors, whose sum is σ = 31757107200. Its totient is φ = 1926892800.

The previous prime is 8509063483. The next prime is 8509063513. The reversal of 8509063500 is 53609058.

8509063500 is a `hidden beast` number, since 8 + 5 + 0 + 90 + 63 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12001146 + ... + 12001854.

It is an arithmetic number, because the mean of its divisors is an integer number (82700800).

Almost surely, 2^8509063500 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 8509063500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878553600).

8509063500 is an abundant number, since it is smaller than the sum of its proper divisors (23248043700).

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

8509063500 is a wasteful number, since it uses less digits than its factorization.

8509063500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 8509063500 is about 92244.5852069378. The cubic root of 8509063500 is about 2041.5526674281.

The spelling of 8509063500 in words is "eight billion, five hundred nine million, sixty-three thousand, five hundred".