1317148560 has 320 divisors, whose sum is σ = 5584642560. Its totient is φ = 277862400.

The previous prime is 1317148549. The next prime is 1317148577. The reversal of 1317148560 is 658417131.

1317148560 is a `hidden beast` number, since 1 + 3 + 171 + 485 + 6 + 0 = 666.

It is a super-2 number, since 2×1317148560² = 3469760658220147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193210 + ... + 199910.

It is an arithmetic number, because the mean of its divisors is an integer number (17452008).

Almost surely, 2^1317148560 is an apocalyptic number.

1317148560 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 1317148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792321280).

1317148560 is an abundant number, since it is smaller than the sum of its proper divisors (4267494000).

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

1317148560 is a wasteful number, since it uses less digits than its factorization.

1317148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1317148560 is about 36292.5413824935. The cubic root of 1317148560 is about 1096.1708624164.

The spelling of 1317148560 in words is "one billion, three hundred seventeen million, one hundred forty-eight thousand, five hundred sixty".