516431705000 has 80 divisors (see below), whose sum is σ = 1210860666180. Its totient is φ = 206425664000.

The previous prime is 516431704991. The next prime is 516431705021. The reversal of 516431705000 is 507134615.

It can be written as a sum of positive squares in 10 ways, for example, as 70317250276 + 446114454724 = 265174^2 + 667918^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7128962 + ... + 7201038.

Almost surely, 2^516431705000 is an apocalyptic number.

516431705000 is a gapful number since it is divisible by the number (50) 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 516431705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605430333090).

516431705000 is an abundant number, since it is smaller than the sum of its proper divisors (694428961180).

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

516431705000 is a wasteful number, since it uses less digits than its factorization.

516431705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73536 (or 73517 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 516431705000 its reverse (507134615), we get a palindrome (516938839615).

The spelling of 516431705000 in words is "five hundred sixteen billion, four hundred thirty-one million, seven hundred five thousand".