6512663520 has 384 divisors, whose sum is σ = 25674485760. Its totient is φ = 1527552000.

The previous prime is 6512663519. The next prime is 6512663539. The reversal of 6512663520 is 253662156.

It is a happy number.

6512663520 is a `hidden beast` number, since 6 + 5 + 12 + 6 + 635 + 2 + 0 = 666.

It is a super-2 number, since 2×6512663520² = 84829572249477580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1470910 + ... + 1475330.

It is an arithmetic number, because the mean of its divisors is an integer number (66860640).

Almost surely, 2^6512663520 is an apocalyptic number.

6512663520 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 6512663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837242880).

6512663520 is an abundant number, since it is smaller than the sum of its proper divisors (19161822240).

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

6512663520 is a wasteful number, since it uses less digits than its factorization.

6512663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6512663520 is about 80701.0750857757. The cubic root of 6512663520 is about 1867.4667596219.

The spelling of 6512663520 in words is "six billion, five hundred twelve million, six hundred sixty-three thousand, five hundred twenty".