1317583872 has 264 divisors, whose sum is σ = 4264998192. Its totient is φ = 388300800.

The previous prime is 1317583867. The next prime is 1317583879. The reversal of 1317583872 is 2783857131.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317583879) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4156258 + ... + 4156574.

Almost surely, 2^1317583872 is an apocalyptic number.

1317583872 is a gapful number since it is divisible by the number (12) 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 1317583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132499096).

1317583872 is an abundant number, since it is smaller than the sum of its proper divisors (2947414320).

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

1317583872 is a wasteful number, since it uses less digits than its factorization.

1317583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 1317583872 is about 36298.5381523829. The cubic root of 1317583872 is about 1096.2916090521.

The spelling of 1317583872 in words is "one billion, three hundred seventeen million, five hundred eighty-three thousand, eight hundred seventy-two".