1315581984 has 144 divisors (see below), whose sum is σ = 3929627520. Its totient is φ = 416908800.

The previous prime is 1315581961. The next prime is 1315581989. The reversal of 1315581984 is 4891855131.

1315581984 is a `hidden beast` number, since 1 + 3 + 1 + 558 + 1 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1315581989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 558409 + ... + 560759.

It is an arithmetic number, because the mean of its divisors is an integer number (27289080).

Almost surely, 2^1315581984 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 1315581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964813760).

1315581984 is an abundant number, since it is smaller than the sum of its proper divisors (2614045536).

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

1315581984 is a wasteful number, since it uses less digits than its factorization.

1315581984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2452 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 1315581984 is about 36270.9523448172. The cubic root of 1315581984 is about 1095.7361060353.

The spelling of 1315581984 in words is "one billion, three hundred fifteen million, five hundred eighty-one thousand, nine hundred eighty-four".