516161735232 has 224 divisors, whose sum is σ = 1628385368064. Its totient is φ = 142225459200.

The previous prime is 516161735209. The next prime is 516161735239. The reversal of 516161735232 is 232537161615.

It is not an unprimeable number, because it can be changed into a prime (516161735239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699257 + ... + 1979847.

It is an arithmetic number, because the mean of its divisors is an integer number (7269577536).

Almost surely, 2^516161735232 is an apocalyptic number.

516161735232 is a gapful number since it is divisible by the number (52) 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 516161735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814192684032).

516161735232 is an abundant number, since it is smaller than the sum of its proper divisors (1112223632832).

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

516161735232 is a wasteful number, since it uses less digits than its factorization.

516161735232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280697 (or 280687 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

Adding to 516161735232 its reverse (232537161615), we get a palindrome (748698896847).

The spelling of 516161735232 in words is "five hundred sixteen billion, one hundred sixty-one million, seven hundred thirty-five thousand, two hundred thirty-two".