1311613072 has 80 divisors (see below), whose sum is σ = 3182832000. Its totient is φ = 508677120.

The previous prime is 1311613057. The next prime is 1311613081. The reversal of 1311613072 is 2703161131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279804 + ... + 284452.

It is an arithmetic number, because the mean of its divisors is an integer number (39785400).

Almost surely, 2^1311613072 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 1311613072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591416000).

1311613072 is an abundant number, since it is smaller than the sum of its proper divisors (1871218928).

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

1311613072 is a wasteful number, since it uses less digits than its factorization.

1311613072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1311613072 is about 36216.1990275070. The cubic root of 1311613072 is about 1094.6331060241.

The spelling of 1311613072 in words is "one billion, three hundred eleven million, six hundred thirteen thousand, seventy-two".