1311597056 has 320 divisors, whose sum is σ = 3676907520. Its totient is φ = 451215360.

The previous prime is 1311597047. The next prime is 1311597071. The reversal of 1311597056 is 6507951131.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12733901 + ... + 12734003.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^1311597056 is an apocalyptic number.

1311597056 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 1311597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

1311597056 is an abundant number, since it is smaller than the sum of its proper divisors (2365310464).

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

1311597056 is a wasteful number, since it uses less digits than its factorization.

1311597056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 38.

The square root of 1311597056 is about 36215.9779103091. The cubic root of 1311597056 is about 1094.6286505142.

The spelling of 1311597056 in words is "one billion, three hundred eleven million, five hundred ninety-seven thousand, fifty-six".