505405301300 has 18 divisors (see below), whose sum is σ = 1096729504038. Its totient is φ = 202162120480.

The previous prime is 505405301267. The next prime is 505405301309. The reversal of 505405301300 is 3103504505.

It can be written as a sum of positive squares in 3 ways, for example, as 61279022116 + 444126279184 = 247546^2 + 666428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 505405301300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505405301309) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2527026407 + ... + 2527026606.

It is an arithmetic number, because the mean of its divisors is an integer number (60929416891).

Almost surely, 2^505405301300 is an apocalyptic number.

505405301300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505405301300 is an abundant number, since it is smaller than the sum of its proper divisors (591324202738).

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

505405301300 is a wasteful number, since it uses less digits than its factorization.

505405301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054053027 (or 5054053020 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 505405301300 its reverse (3103504505), we get a palindrome (508508805805).

The spelling of 505405301300 in words is "five hundred five billion, four hundred five million, three hundred one thousand, three hundred".