6513127488 has 448 divisors, whose sum is σ = 23432048640. Its totient is φ = 1733529600.

The previous prime is 6513127471. The next prime is 6513127513. The reversal of 6513127488 is 8847213156.

6513127488 is a `hidden beast` number, since 6 + 513 + 127 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11406243 + ... + 11406813.

It is an arithmetic number, because the mean of its divisors is an integer number (52303680).

Almost surely, 2^6513127488 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 6513127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11716024320).

6513127488 is an abundant number, since it is smaller than the sum of its proper divisors (16918921152).

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

6513127488 is a wasteful number, since it uses less digits than its factorization.

6513127488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 6513127488 is about 80703.9496431247. The cubic root of 6513127488 is about 1867.5111052387.

The spelling of 6513127488 in words is "six billion, five hundred thirteen million, one hundred twenty-seven thousand, four hundred eighty-eight".