6581353248 has 96 divisors (see below), whose sum is σ = 19210504320. Its totient is φ = 2192083200.

The previous prime is 6581353243. The next prime is 6581353249. The reversal of 6581353248 is 8423531856.

6581353248 is a `hidden beast` number, since 6 + 58 + 1 + 353 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6581353241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640461 + ... + 1644467.

It is an arithmetic number, because the mean of its divisors is an integer number (200109420).

Almost surely, 2^6581353248 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 6581353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9605252160).

6581353248 is an abundant number, since it is smaller than the sum of its proper divisors (12629151072).

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

6581353248 is a wasteful number, since it uses less digits than its factorization.

6581353248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5913 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 6581353248 is about 81125.5400475091. The cubic root of 6581353248 is about 1874.0092660369.

The spelling of 6581353248 in words is "six billion, five hundred eighty-one million, three hundred fifty-three thousand, two hundred forty-eight".