1317725760 has 224 divisors, whose sum is σ = 4771412352. Its totient is φ = 305233920.

The previous prime is 1317725749. The next prime is 1317725779. The reversal of 1317725760 is 675277131.

1317725760 = T₆₃₃₅ + T₆₃₃₆ + ... + T₆₃₉₉.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209055 + ... + 215265.

It is an arithmetic number, because the mean of its divisors is an integer number (21300948).

Almost surely, 2^1317725760 is an apocalyptic number.

1317725760 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 1317725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385706176).

1317725760 is an abundant number, since it is smaller than the sum of its proper divisors (3453686592).

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

1317725760 is a wasteful number, since it uses less digits than its factorization.

1317725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 1317725760 is about 36300.4925586417. The cubic root of 1317725760 is about 1096.3309601309.

The spelling of 1317725760 in words is "one billion, three hundred seventeen million, seven hundred twenty-five thousand, seven hundred sixty".