1313689584 has 20 divisors (see below), whose sum is σ = 3393698216. Its totient is φ = 437896512.

The previous prime is 1313689579. The next prime is 1313689609. The reversal of 1313689584 is 4859863131.

It is a super-2 number, since 2×1313689584² = 3451560646220186112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 27368533 = 1313689584 / (1 + 3 + 1 + 3 + 6 + 8 + 9 + 5 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13684219 + ... + 13684314.

Almost surely, 2^1313689584 is an apocalyptic number.

It is an amenable number.

1313689584 is an abundant number, since it is smaller than the sum of its proper divisors (2080008632).

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

1313689584 is a wasteful number, since it uses less digits than its factorization.

1313689584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27368544 (or 27368538 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 1313689584 is about 36244.8559660540. The cubic root of 1313689584 is about 1095.2104664145.

The spelling of 1313689584 in words is "one billion, three hundred thirteen million, six hundred eighty-nine thousand, five hundred eighty-four".