503149048900 has 81 divisors (see below), whose sum is σ = 1105626300709. Its totient is φ = 198748591360.

The previous prime is 503149048877. The next prime is 503149048901. The reversal of 503149048900 is 9840941305.

It is a happy number.

The square root of 503149048900 is 709330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 460164149316 + 42984899584 = 678354^2 + 207328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503149048901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 631303302 + ... + 631304098.

Almost surely, 2^503149048900 is an apocalyptic number.

503149048900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

503149048900 is the 709330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503149048900

503149048900 is an abundant number, since it is smaller than the sum of its proper divisors (602477251809).

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

503149048900 is an frugal number, since it uses more digits than its factorization.

503149048900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 503149048900 in words is "five hundred three billion, one hundred forty-nine million, forty-eight thousand, nine hundred".