1313460576 has 384 divisors, whose sum is σ = 4354560000. Its totient is φ = 383201280.

The previous prime is 1313460571. The next prime is 1313460581. The reversal of 1313460576 is 6750643131.

1313460576 is a `hidden beast` number, since 13 + 1 + 34 + 605 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1313460571) and next prime (1313460581).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1313460576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313460571) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14757940 + ... + 14758028.

It is an arithmetic number, because the mean of its divisors is an integer number (11340000).

Almost surely, 2^1313460576 is an apocalyptic number.

1313460576 is a gapful number since it is divisible by the number (16) 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 1313460576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280000).

1313460576 is an abundant number, since it is smaller than the sum of its proper divisors (3041099424).

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

1313460576 is a wasteful number, since it uses less digits than its factorization.

1313460576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

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

The square root of 1313460576 is about 36241.6966490257. The cubic root of 1313460576 is about 1095.1468221216.

The spelling of 1313460576 in words is "one billion, three hundred thirteen million, four hundred sixty thousand, five hundred seventy-six".