516941000 has 64 divisors (see below), whose sum is σ = 1218672000. Its totient is φ = 205233600.

The previous prime is 516940993. The next prime is 516941011. The reversal of 516941000 is 149615.

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 15 ways as a sum of consecutive naturals, for example, 137141 + ... + 140859.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 2^516941000 is an apocalyptic number.

516941000 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 516941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

516941000 is an abundant number, since it is smaller than the sum of its proper divisors (701731000).

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

516941000 is a wasteful number, since it uses less digits than its factorization.

516941000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 516941000 is about 22736.3365562704. The cubic root of 516941000 is about 802.5652033730.

The spelling of 516941000 in words is "five hundred sixteen million, nine hundred forty-one thousand".