505201302016 has 320 divisors, whose sum is σ = 1126151921664. Its totient is φ = 225430732800.

The previous prime is 505201301987. The next prime is 505201302017. The reversal of 505201302016 is 610203102505.

It is not an unprimeable number, because it can be changed into a prime (505201302017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3217842610 + ... + 3217842766.

Almost surely, 2^505201302016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505201302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563075960832).

505201302016 is an abundant number, since it is smaller than the sum of its proper divisors (620950619648).

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

505201302016 is a wasteful number, since it uses less digits than its factorization.

505201302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 505201302016 in words is "five hundred five billion, two hundred one million, three hundred two thousand, sixteen".