1313585856 has 224 divisors, whose sum is σ = 4359859200. Its totient is φ = 384168960.

The previous prime is 1313585831. The next prime is 1313585857. The reversal of 1313585856 is 6585853131.

1313585856 is a `hidden beast` number, since 1 + 3 + 13 + 58 + 585 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1313585857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550041 + ... + 552423.

Almost surely, 2^1313585856 is an apocalyptic number.

1313585856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179929600).

1313585856 is an abundant number, since it is smaller than the sum of its proper divisors (3046273344).

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

1313585856 is a wasteful number, since it uses less digits than its factorization.

1313585856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2428 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 1313585856 is about 36243.4250037162. The cubic root of 1313585856 is about 1095.1816399746.

The spelling of 1313585856 in words is "one billion, three hundred thirteen million, five hundred eighty-five thousand, eight hundred fifty-six".