1313465760 has 192 divisors, whose sum is σ = 4695667200. Its totient is φ = 342752256.

The previous prime is 1313465737. The next prime is 1313465773. The reversal of 1313465760 is 675643131.

1313465760 is a `hidden beast` number, since 131 + 3 + 465 + 7 + 60 = 666.

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 31 ways as a sum of consecutive naturals, for example, 199806 + ... + 206274.

It is an arithmetic number, because the mean of its divisors is an integer number (24456600).

Almost surely, 2^1313465760 is an apocalyptic number.

1313465760 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 1313465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347833600).

1313465760 is an abundant number, since it is smaller than the sum of its proper divisors (3382201440).

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

1313465760 is a wasteful number, since it uses less digits than its factorization.

1313465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1313465760 is about 36241.7681687856. The cubic root of 1313465760 is about 1095.1482629042.

The spelling of 1313465760 in words is "one billion, three hundred thirteen million, four hundred sixty-five thousand, seven hundred sixty".