1315359360 has 768 divisors, whose sum is σ = 5842886400. Its totient is φ = 265420800.

The previous prime is 1315359329. The next prime is 1315359407. The reversal of 1315359360 is 639535131.

1315359360 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 593 + 60 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13023310 + ... + 13023410.

It is an arithmetic number, because the mean of its divisors is an integer number (7607925).

Almost surely, 2^1315359360 is an apocalyptic number.

1315359360 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 1315359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921443200).

1315359360 is an abundant number, since it is smaller than the sum of its proper divisors (4527527040).

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

1315359360 is a wasteful number, since it uses less digits than its factorization.

1315359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 1315359360 is about 36267.8833129258. The cubic root of 1315359360 is about 1095.6742953896.

The spelling of 1315359360 in words is "one billion, three hundred fifteen million, three hundred fifty-nine thousand, three hundred sixty".