516755134350 has 576 divisors, whose sum is σ = 1877792313600. Its totient is φ = 103287985920.

The previous prime is 516755134303. The next prime is 516755134367. The reversal of 516755134350 is 53431557615.

516755134350 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 551 + 3 + 43 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 516755134296 and 516755134305.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 16323237 + ... + 16354863.

It is an arithmetic number, because the mean of its divisors is an integer number (3260056100).

Almost surely, 2^516755134350 is an apocalyptic number.

516755134350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516755134350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938896156800).

516755134350 is an abundant number, since it is smaller than the sum of its proper divisors (1361037179250).

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

516755134350 is a wasteful number, since it uses less digits than its factorization.

516755134350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31694 (or 31676 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 516755134350 in words is "five hundred sixteen billion, seven hundred fifty-five million, one hundred thirty-four thousand, three hundred fifty".