6509000 has 64 divisors (see below), whose sum is σ = 15949440. Its totient is φ = 2481600.

The previous prime is 6508979. The next prime is 6509017. The reversal of 6509000 is 9056.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22859 + ... + 23141.

It is an arithmetic number, because the mean of its divisors is an integer number (249210).

Almost surely, 2^6509000 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 6509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974720).

6509000 is an abundant number, since it is smaller than the sum of its proper divisors (9440440).

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

6509000 is a wasteful number, since it uses less digits than its factorization.

6509000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 6509000 is about 2551.2741914581. The cubic root of 6509000 is about 186.7116529897.

The spelling of 6509000 in words is "six million, five hundred nine thousand".