1313599616 has 64 divisors (see below), whose sum is σ = 3054516480. Its totient is φ = 550975488.

The previous prime is 1313599607. The next prime is 1313599643. The reversal of 1313599616 is 6169953131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26516 + ... + 57708.

It is an arithmetic number, because the mean of its divisors is an integer number (47726820).

Almost surely, 2^1313599616 is an apocalyptic number.

1313599616 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 1313599616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527258240).

1313599616 is an abundant number, since it is smaller than the sum of its proper divisors (1740916864).

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

1313599616 is an equidigital number, since it uses as much as digits as its factorization.

1313599616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261 (or 31249 counting only the distinct ones).

The product of its digits is 131220, while the sum is 44.

The square root of 1313599616 is about 36243.6148307533. The cubic root of 1313599616 is about 1095.1854640228.

The spelling of 1313599616 in words is "one billion, three hundred thirteen million, five hundred ninety-nine thousand, six hundred sixteen".