1313783520 has 384 divisors, whose sum is σ = 4978713600. Its totient is φ = 284884992.

The previous prime is 1313783501. The next prime is 1313783521. The reversal of 1313783520 is 253873131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313783521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9451611 + ... + 9451749.

It is an arithmetic number, because the mean of its divisors is an integer number (12965400).

Almost surely, 2^1313783520 is an apocalyptic number.

1313783520 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 1313783520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489356800).

1313783520 is an abundant number, since it is smaller than the sum of its proper divisors (3664930080).

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

1313783520 is a wasteful number, since it uses less digits than its factorization.

1313783520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1313783520 is about 36246.1517957424. The cubic root of 1313783520 is about 1095.2365703078.

The spelling of 1313783520 in words is "one billion, three hundred thirteen million, seven hundred eighty-three thousand, five hundred twenty".