1813360500 has 384 divisors, whose sum is σ = 6932889600. Its totient is φ = 400464000.

The previous prime is 1813360499. The next prime is 1813360537. The reversal of 1813360500 is 50633181.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 2929191 + ... + 2929809.

It is an arithmetic number, because the mean of its divisors is an integer number (18054400).

Almost surely, 2^1813360500 is an apocalyptic number.

1813360500 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 1813360500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466444800).

1813360500 is an abundant number, since it is smaller than the sum of its proper divisors (5119529100).

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

1813360500 is a wasteful number, since it uses less digits than its factorization.

1813360500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1813360500 is about 42583.5707755937. The cubic root of 1813360500 is about 1219.4426595165.

Adding to 1813360500 its reverse (50633181), we get a palindrome (1863993681).

The spelling of 1813360500 in words is "one billion, eight hundred thirteen million, three hundred sixty thousand, five hundred".