516525505000 has 40 divisors (see below), whose sum is σ = 1210219269930. Its totient is φ = 206610200000.

The previous prime is 516525504991. The next prime is 516525505033. The reversal of 516525505000 is 505525615.

It can be written as a sum of positive squares in 5 ways, for example, as 2863748196 + 513661756804 = 53514^2 + 716702^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 51647551 + ... + 51657550.

Almost surely, 2^516525505000 is an apocalyptic number.

516525505000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516525505000 is an abundant number, since it is smaller than the sum of its proper divisors (693693764930).

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

516525505000 is a wasteful number, since it uses less digits than its factorization.

516525505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103305127 (or 103305108 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 516525505000 in words is "five hundred sixteen billion, five hundred twenty-five million, five hundred five thousand".