505203135400 has 96 divisors (see below), whose sum is σ = 1180788710400. Its totient is φ = 201017792000.

The previous prime is 505203135397. The next prime is 505203135421. The reversal of 505203135400 is 4531302505.

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 23 ways as a sum of consecutive naturals, for example, 53631891 + ... + 53641309.

It is an arithmetic number, because the mean of its divisors is an integer number (12299882400).

Almost surely, 2^505203135400 is an apocalyptic number.

505203135400 is a gapful number since it is divisible by the number (50) 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 505203135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590394355200).

505203135400 is an abundant number, since it is smaller than the sum of its proper divisors (675585575000).

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

505203135400 is a wasteful number, since it uses less digits than its factorization.

505203135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819 (or 10810 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 505203135400 its reverse (4531302505), we get a palindrome (509734437905).

The spelling of 505203135400 in words is "five hundred five billion, two hundred three million, one hundred thirty-five thousand, four hundred".