1313738580 has 384 divisors, whose sum is σ = 4981616640. Its totient is φ = 250306560.

The previous prime is 1313738561. The next prime is 1313738581. The reversal of 1313738580 is 858373131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313738581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3377026 + ... + 3377414.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2^1313738580 is an apocalyptic number.

1313738580 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 1313738580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

1313738580 is an abundant number, since it is smaller than the sum of its proper divisors (3667878060).

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

1313738580 is a wasteful number, since it uses less digits than its factorization.

1313738580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1313738580 is about 36245.5318625620. The cubic root of 1313738580 is about 1095.2240820777.

The spelling of 1313738580 in words is "one billion, three hundred thirteen million, seven hundred thirty-eight thousand, five hundred eighty".