516010000 has 100 divisors (see below), whose sum is σ = 1363176144. Its totient is φ = 187600000.

The previous prime is 516009983. The next prime is 516010003. The reversal of 516010000 is 10615.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (516010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107655 + ... + 112345.

Almost surely, 2^516010000 is an apocalyptic number.

516010000 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 516010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681588072).

516010000 is an abundant number, since it is smaller than the sum of its proper divisors (847166144).

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

516010000 is a wasteful number, since it uses less digits than its factorization.

516010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 516010000 is about 22715.8534948612. The cubic root of 516010000 is about 802.0831127602.

Adding to 516010000 its reverse (10615), we get a palindrome (516020615).

The spelling of 516010000 in words is "five hundred sixteen million, ten thousand".