516205312146 has 24 divisors (see below), whose sum is σ = 1126982595024. Its totient is φ = 170754937080.

The previous prime is 516205312127. The next prime is 516205312159. The reversal of 516205312146 is 641213502615.

516205312146 is a `hidden beast` number, since 5 + 1 + 62 + 0 + 531 + 21 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 516205312146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109455936 + ... + 109460651.

It is an arithmetic number, because the mean of its divisors is an integer number (46957608126).

Almost surely, 2^516205312146 is an apocalyptic number.

516205312146 is an abundant number, since it is smaller than the sum of its proper divisors (610777282878).

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

516205312146 is a wasteful number, since it uses less digits than its factorization.

516205312146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218916726 (or 218916723 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 516205312146 in words is "five hundred sixteen billion, two hundred five million, three hundred twelve thousand, one hundred forty-six".