516361522816 has 64 divisors (see below), whose sum is σ = 1073938824000. Its totient is φ = 246834903040.

The previous prime is 516361522759. The next prime is 516361522819. The reversal of 516361522816 is 618225163615.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (516361522819) 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, 6137676 + ... + 6221236.

It is an arithmetic number, because the mean of its divisors is an integer number (16780294125).

Almost surely, 2^516361522816 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 516361522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536969412000).

516361522816 is an abundant number, since it is smaller than the sum of its proper divisors (557577301184).

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

516361522816 is a wasteful number, since it uses less digits than its factorization.

516361522816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85697 (or 85685 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The spelling of 516361522816 in words is "five hundred sixteen billion, three hundred sixty-one million, five hundred twenty-two thousand, eight hundred sixteen".