6511931040 has 48 divisors (see below), whose sum is σ = 20512584288. Its totient is φ = 1736514816.

The previous prime is 6511931029. The next prime is 6511931057. The reversal of 6511931040 is 401391156.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6511930989 and 6511931007.

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 7 ways as a sum of consecutive naturals, for example, 6782782 + ... + 6783741.

It is an arithmetic number, because the mean of its divisors is an integer number (427345506).

Almost surely, 2^6511931040 is an apocalyptic number.

6511931040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6511931040 is an abundant number, since it is smaller than the sum of its proper divisors (14000653248).

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

6511931040 is a wasteful number, since it uses less digits than its factorization.

6511931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566541 (or 13566533 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 6511931040 is about 80696.5367286602. The cubic root of 6511931040 is about 1867.3967455980.

The spelling of 6511931040 in words is "six billion, five hundred eleven million, nine hundred thirty-one thousand, forty".