6513086880 has 120 divisors (see below), whose sum is σ = 22985814852. Its totient is φ = 1736819712.

The previous prime is 6513086851. The next prime is 6513086917. The reversal of 6513086880 is 886803156.

It can be written as a sum of positive squares in 2 ways, for example, as 6119619984 + 393466896 = 78228^2 + 19836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238317 + ... + 264236.

Almost surely, 2^6513086880 is an apocalyptic number.

6513086880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6513086880 is an abundant number, since it is smaller than the sum of its proper divisors (16472727972).

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

6513086880 is a wasteful number, since it uses less digits than its factorization.

6513086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502580 (or 502563 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6513086880 is about 80703.6980565327. The cubic root of 6513086880 is about 1867.5072240491.

The spelling of 6513086880 in words is "six billion, five hundred thirteen million, eighty-six thousand, eight hundred eighty".