505201343264 has 48 divisors (see below), whose sum is σ = 1017961227360. Its totient is φ = 246673996800.

The previous prime is 505201343263. The next prime is 505201343351. The reversal of 505201343264 is 462343102505.

It is not an unprimeable number, because it can be changed into a prime (505201343263) 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 7 ways as a sum of consecutive naturals, for example, 6913832 + ... + 6986520.

It is an arithmetic number, because the mean of its divisors is an integer number (21207525570).

Almost surely, 2^505201343264 is an apocalyptic number.

It is an amenable number.

505201343264 is an abundant number, since it is smaller than the sum of its proper divisors (512759884096).

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

505201343264 is a wasteful number, since it uses less digits than its factorization.

505201343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77793 (or 77785 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 505201343264 its reverse (462343102505), we get a palindrome (967544445769).

The spelling of 505201343264 in words is "five hundred five billion, two hundred one million, three hundred forty-three thousand, two hundred sixty-four".