1313506544 has 60 divisors (see below), whose sum is σ = 2964997728. Its totient is φ = 562060800.

The previous prime is 1313506507. The next prime is 1313506553. The reversal of 1313506544 is 4456053131.

It is a super-2 number, since 2×1313506544² = 3450598882261647872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313506544.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 964424 + ... + 965784.

Almost surely, 2^1313506544 is an apocalyptic number.

1313506544 is a gapful number since it is divisible by the number (14) 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 1313506544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482498864).

1313506544 is an abundant number, since it is smaller than the sum of its proper divisors (1651491184).

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

1313506544 is a wasteful number, since it uses less digits than its factorization.

1313506544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 1313506544 is about 36242.3308301218. The cubic root of 1313506544 is about 1095.1595978183.

Adding to 1313506544 its reverse (4456053131), we get a palindrome (5769559675).

The spelling of 1313506544 in words is "one billion, three hundred thirteen million, five hundred six thousand, five hundred forty-four".