1313459712 has 360 divisors, whose sum is σ = 4349092176. Its totient is φ = 394149888.

The previous prime is 1313459699. The next prime is 1313459713. The reversal of 1313459712 is 2179543131.

1313459712 is a `hidden beast` number, since 1 + 31 + 34 + 597 + 1 + 2 = 666.

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

Its product of digits (22680) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313459713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57106933 + ... + 57106955.

Almost surely, 2^1313459712 is an apocalyptic number.

1313459712 is a gapful number since it is divisible by the number (12) 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 1313459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174546088).

1313459712 is an abundant number, since it is smaller than the sum of its proper divisors (3035632464).

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

1313459712 is an frugal number, since it uses more digits than its factorization.

1313459712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1313459712 is about 36241.6847290520. The cubic root of 1313459712 is about 1095.1465819908.

The spelling of 1313459712 in words is "one billion, three hundred thirteen million, four hundred fifty-nine thousand, seven hundred twelve".