6582541338 has 48 divisors (see below), whose sum is σ = 15167229480. Its totient is φ = 2056071168.

The previous prime is 6582541331. The next prime is 6582541367. The reversal of 6582541338 is 8331452856.

6582541338 is a `hidden beast` number, since 6 + 582 + 54 + 13 + 3 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6078853089 + 503688249 = 77967^2 + 22443^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6582541293 and 6582541302.

It is not an unprimeable number, because it can be changed into a prime (6582541331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23106 + ... + 117042.

Almost surely, 2^6582541338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6582541338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583614740).

6582541338 is an abundant number, since it is smaller than the sum of its proper divisors (8584688142).

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

6582541338 is a wasteful number, since it uses less digits than its factorization.

6582541338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94191 (or 94188 counting only the distinct ones).

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

The square root of 6582541338 is about 81132.8622569178. The cubic root of 6582541338 is about 1874.1220269246.

The spelling of 6582541338 in words is "six billion, five hundred eighty-two million, five hundred forty-one thousand, three hundred thirty-eight".