1313504500 has 192 divisors, whose sum is σ = 3620897280. Its totient is φ = 404352000.

The previous prime is 1313504497. The next prime is 1313504519. The reversal of 1313504500 is 54053131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 4196344 + ... + 4196656.

It is an arithmetic number, because the mean of its divisors is an integer number (18858840).

Almost surely, 2^1313504500 is an apocalyptic number.

1313504500 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 1313504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810448640).

1313504500 is an abundant number, since it is smaller than the sum of its proper divisors (2307392780).

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

1313504500 is a wasteful number, since it uses less digits than its factorization.

1313504500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1313504500 is about 36242.3026310415. The cubic root of 1313504500 is about 1095.1590297441.

Adding to 1313504500 its reverse (54053131), we get a palindrome (1367557631).

The spelling of 1313504500 in words is "one billion, three hundred thirteen million, five hundred four thousand, five hundred".