516085830 has 288 divisors, whose sum is σ = 1639546272. Its totient is φ = 115706880.

The previous prime is 516085811. The next prime is 516085841. The reversal of 516085830 is 38580615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16647915 + ... + 16647945.

It is an arithmetic number, because the mean of its divisors is an integer number (5692869).

Almost surely, 2^516085830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516085830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819773136).

516085830 is an abundant number, since it is smaller than the sum of its proper divisors (1123460442).

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

516085830 is a wasteful number, since it uses less digits than its factorization.

516085830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 516085830 is about 22717.5225321777. The cubic root of 516085830 is about 802.1224007477.

The spelling of 516085830 in words is "five hundred sixteen million, eighty-five thousand, eight hundred thirty".