1313507520 has 168 divisors, whose sum is σ = 4865589456. Its totient is φ = 323315712.

The previous prime is 1313507513. The next prime is 1313507521. The reversal of 1313507520 is 257053131.

1313507520 is a `hidden beast` number, since 1 + 3 + 135 + 0 + 7 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (1313507521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19899 + ... + 54981.

It is an arithmetic number, because the mean of its divisors is an integer number (28961842).

Almost surely, 2^1313507520 is an apocalyptic number.

1313507520 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 1313507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432794728).

1313507520 is an abundant number, since it is smaller than the sum of its proper divisors (3552081936).

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

1313507520 is a wasteful number, since it uses less digits than its factorization.

1313507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35119 (or 35106 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1313507520 is about 36242.3442950370. The cubic root of 1313507520 is about 1095.1598690707.

The spelling of 1313507520 in words is "one billion, three hundred thirteen million, five hundred seven thousand, five hundred twenty".