516805000 has 80 divisors (see below), whose sum is σ = 1240899660. Its totient is φ = 201600000.

The previous prime is 516804991. The next prime is 516805001. The reversal of 516805000 is 508615.

It can be written as a sum of positive squares in 10 ways, for example, as 339222724 + 177582276 = 18418^2 + 13326^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (516805001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203740 + ... + 206260.

Almost surely, 2^516805000 is an apocalyptic number.

516805000 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 516805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620449830).

516805000 is an abundant number, since it is smaller than the sum of its proper divisors (724094660).

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

516805000 is a wasteful number, since it uses less digits than its factorization.

516805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 516805000 is about 22733.3455522939. The cubic root of 516805000 is about 802.4948159459.

The spelling of 516805000 in words is "five hundred sixteen million, eight hundred five thousand".