1313505520 has 160 divisors (see below), whose sum is σ = 3272290560. Its totient is φ = 489646080.

The previous prime is 1313505509. The next prime is 1313505539. The reversal of 1313505520 is 255053131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9449611 + ... + 9449749.

It is an arithmetic number, because the mean of its divisors is an integer number (20451816).

Almost surely, 2^1313505520 is an apocalyptic number.

1313505520 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 1313505520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636145280).

1313505520 is an abundant number, since it is smaller than the sum of its proper divisors (1958785040).

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

1313505520 is a wasteful number, since it uses less digits than its factorization.

1313505520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1313505520 is about 36242.3167029924. The cubic root of 1313505520 is about 1095.1593132254.

Adding to 1313505520 its reverse (255053131), we get a palindrome (1568558651).

The spelling of 1313505520 in words is "one billion, three hundred thirteen million, five hundred five thousand, five hundred twenty".