5303809000000 has 735 divisors, whose sum is σ = 15680968011509. Its totient is φ = 1779758400000.

The previous prime is 5303808999989. The next prime is 5303809000013. The reversal of 5303809000000 is 9083035.

It is a happy number.

The square root of 5303809000000 is 2303000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 4646645849664 + 657163150336 = 2155608^2 + 810656^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 112846999977 + ... + 112847000023.

Almost surely, 2^{5303809000000} is an apocalyptic number.

5303809000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5303809000000 is the 2303000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303809000000

5303809000000 is an abundant number, since it is smaller than the sum of its proper divisors (10377159011509).

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

5303809000000 is an frugal number, since it uses more digits than its factorization.

5303809000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 5303809000000 in words is "five trillion, three hundred three billion, eight hundred nine million", and thus it is an aban number.