505006016 has 56 divisors (see below), whose sum is σ = 1072896000. Its totient is φ = 235125504.

The previous prime is 505006003. The next prime is 505006049. The reversal of 505006016 is 610600505.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 505005982 and 505006000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68225 + ... + 75263.

Almost surely, 2^505006016 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 505006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536448000).

505006016 is an abundant number, since it is smaller than the sum of its proper divisors (567889984).

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

505006016 is a wasteful number, since it uses less digits than its factorization.

505006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 505006016 is about 22472.3389080888. The cubic root of 505006016 is about 796.3405863881.

The spelling of 505006016 in words is "five hundred five million, six thousand, sixteen".