6541359552 has 448 divisors, whose sum is σ = 25070653440. Its totient is φ = 1623048192.

The previous prime is 6541359521. The next prime is 6541359593. The reversal of 6541359552 is 2559531456.

6541359552 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 3 + 595 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6541359498 and 6541359507.

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, 2671993 + ... + 2674439.

It is an arithmetic number, because the mean of its divisors is an integer number (55961280).

Almost surely, 2^6541359552 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 6541359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535326720).

6541359552 is an abundant number, since it is smaller than the sum of its proper divisors (18529293888).

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

6541359552 is a wasteful number, since it uses less digits than its factorization.

6541359552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2489 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 6541359552 is about 80878.6717991833. The cubic root of 6541359552 is about 1870.2055453854.

The spelling of 6541359552 in words is "six billion, five hundred forty-one million, three hundred fifty-nine thousand, five hundred fifty-two".