1317563360 has 72 divisors (see below), whose sum is σ = 3285338616. Its totient is φ = 499265280.

The previous prime is 1317563353. The next prime is 1317563369. The reversal of 1317563360 is 633657131.

It is a super-2 number, since 2×1317563360² = 3471946415228979200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1317563360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317563369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46355 + ... + 69165.

It is an arithmetic number, because the mean of its divisors is an integer number (45629703).

Almost surely, 2^1317563360 is an apocalyptic number.

1317563360 is a gapful number since it is divisible by the number (10) 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 1317563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642669308).

1317563360 is an abundant number, since it is smaller than the sum of its proper divisors (1967775256).

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

1317563360 is a wasteful number, since it uses less digits than its factorization.

1317563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22864 (or 22837 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 1317563360 is about 36298.2556054695. The cubic root of 1317563360 is about 1096.2859200404.

The spelling of 1317563360 in words is "one billion, three hundred seventeen million, five hundred sixty-three thousand, three hundred sixty".