6520512000 has 160 divisors (see below), whose sum is σ = 21679710624. Its totient is φ = 1738752000.

The previous prime is 6520511971. The next prime is 6520512001. The reversal of 6520512000 is 2150256.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6520512001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175020 + ... + 208980.

Almost surely, 2^6520512000 is an apocalyptic number.

6520512000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6520512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839855312).

6520512000 is an abundant number, since it is smaller than the sum of its proper divisors (15159198624).

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

6520512000 is an equidigital number, since it uses as much as digits as its factorization.

6520512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33997 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 6520512000 is about 80749.6873058961. The cubic root of 6520512000 is about 1868.2166264891.

Adding to 6520512000 its reverse (2150256), we get a palindrome (6522662256).

The spelling of 6520512000 in words is "six billion, five hundred twenty million, five hundred twelve thousand".