6512520960 has 576 divisors, whose sum is σ = 25948661760. Its totient is φ = 1532805120.

The previous prime is 6512520953. The next prime is 6512520961. The reversal of 6512520960 is 690252156.

6512520960 is a `hidden beast` number, since 6 + 512 + 52 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6512520961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14065689 + ... + 14066151.

It is an arithmetic number, because the mean of its divisors is an integer number (45049760).

Almost surely, 2^6512520960 is an apocalyptic number.

6512520960 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 6512520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974330880).

6512520960 is an abundant number, since it is smaller than the sum of its proper divisors (19436140800).

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

6512520960 is a wasteful number, since it uses less digits than its factorization.

6512520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 521 counting only the distinct ones).

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

The square root of 6512520960 is about 80700.1918213334. The cubic root of 6512520960 is about 1867.4531334507.

The spelling of 6512520960 in words is "six billion, five hundred twelve million, five hundred twenty thousand, nine hundred sixty".