6509552000 has 576 divisors, whose sum is σ = 20733654240. Its totient is φ = 2022451200.

The previous prime is 6509551999. The next prime is 6509552003. The reversal of 6509552000 is 2559056.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509552003) 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 71 ways as a sum of consecutive naturals, for example, 283023989 + ... + 283024011.

Almost surely, 2^6509552000 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 6509552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10366827120).

6509552000 is an abundant number, since it is smaller than the sum of its proper divisors (14224102240).

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

6509552000 is a wasteful number, since it uses less digits than its factorization.

6509552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 6509552000 is about 80681.7947247085. The cubic root of 6509552000 is about 1867.1693090844.

The spelling of 6509552000 in words is "six billion, five hundred nine million, five hundred fifty-two thousand".