6508000900 has 72 divisors (see below), whose sum is σ = 14412515040. Its totient is φ = 2550032640.

The previous prime is 6508000861. The next prime is 6508000901. The reversal of 6508000900 is 90008056.

It is not an unprimeable number, because it can be changed into a prime (6508000901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1809504 + ... + 1813096.

It is an arithmetic number, because the mean of its divisors is an integer number (200173820).

Almost surely, 2^6508000900 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 6508000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206257520).

6508000900 is an abundant number, since it is smaller than the sum of its proper divisors (7904514140).

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

6508000900 is a wasteful number, since it uses less digits than its factorization.

6508000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 6508000900 is about 80672.1816985260. The cubic root of 6508000900 is about 1867.0209938916.

Adding to 6508000900 its reverse (90008056), we get a palindrome (6598008956).

The spelling of 6508000900 in words is "six billion, five hundred eight million, nine hundred", and thus it is an aban number.