6585249258 has 144 divisors (see below), whose sum is σ = 17026757280. Its totient is φ = 1833354432.

The previous prime is 6585249239. The next prime is 6585249271. The reversal of 6585249258 is 8529425856.

6585249258 is a `hidden beast` number, since 6 + 58 + 52 + 492 + 58 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8367141 + ... + 8367927.

It is an arithmetic number, because the mean of its divisors is an integer number (118241370).

Almost surely, 2^6585249258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6585249258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513378640).

6585249258 is an abundant number, since it is smaller than the sum of its proper divisors (10441508022).

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

6585249258 is a wasteful number, since it uses less digits than its factorization.

6585249258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 6585249258 is about 81149.5487233293. The cubic root of 6585249258 is about 1874.3789832431.

The spelling of 6585249258 in words is "six billion, five hundred eighty-five million, two hundred forty-nine thousand, two hundred fifty-eight".