505221367400 has 48 divisors (see below), whose sum is σ = 1174781243340. Its totient is φ = 202064192000.

The previous prime is 505221367379. The next prime is 505221367421. The reversal of 505221367400 is 4763122505.

It is an interprime number because it is at equal distance from previous prime (505221367379) and next prime (505221367421).

It can be written as a sum of positive squares in 6 ways, for example, as 114748852516 + 390472514884 = 338746^2 + 624878^2 .

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 11 ways as a sum of consecutive naturals, for example, 1559450 + ... + 1855350.

Almost surely, 2^505221367400 is an apocalyptic number.

505221367400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505221367400 is an abundant number, since it is smaller than the sum of its proper divisors (669559875940).

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

505221367400 is a wasteful number, since it uses less digits than its factorization.

505221367400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304454 (or 304445 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

Adding to 505221367400 its reverse (4763122505), we get a palindrome (509984489905).

The spelling of 505221367400 in words is "five hundred five billion, two hundred twenty-one million, three hundred sixty-seven thousand, four hundred".