506216313176 has 64 divisors (see below), whose sum is σ = 1105834291200. Its totient is φ = 212737419648.

The previous prime is 506216313151. The next prime is 506216313181. The reversal of 506216313176 is 671313612605.

It is a super-2 number, since 2×506216313176² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5363885 + ... + 5457443.

It is an arithmetic number, because the mean of its divisors is an integer number (17278660800).

Almost surely, 2^506216313176 is an apocalyptic number.

506216313176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506216313176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552917145600).

506216313176 is an abundant number, since it is smaller than the sum of its proper divisors (599617978024).

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

506216313176 is a wasteful number, since it uses less digits than its factorization.

506216313176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95448 (or 95444 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 506216313176 in words is "five hundred six billion, two hundred sixteen million, three hundred thirteen thousand, one hundred seventy-six".