1313249760 has 264 divisors, whose sum is σ = 4687283160. Its totient is φ = 347680512.

The previous prime is 1313249759. The next prime is 1313249783. The reversal of 1313249760 is 679423131.

1313249760 is a `hidden beast` number, since 131 + 32 + 497 + 6 + 0 = 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 polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 9447771 + ... + 9447909.

Almost surely, 2^1313249760 is an apocalyptic number.

1313249760 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 1313249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343641580).

1313249760 is an abundant number, since it is smaller than the sum of its proper divisors (3374033400).

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

1313249760 is an frugal number, since it uses more digits than its factorization.

1313249760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1313249760 is about 36238.7880592053. The cubic root of 1313249760 is about 1095.0882270814.

The spelling of 1313249760 in words is "one billion, three hundred thirteen million, two hundred forty-nine thousand, seven hundred sixty".