516565140 has 192 divisors, whose sum is σ = 1828990464. Its totient is φ = 106002432.

The previous prime is 516565123. The next prime is 516565151. The reversal of 516565140 is 41565615.

Added to its reverse (41565615) it gives a triangular number (558130755 = T₃₃₄₁₀).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200742 + ... + 203298.

It is an arithmetic number, because the mean of its divisors is an integer number (9525992).

Almost surely, 2^516565140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516565140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914495232).

516565140 is an abundant number, since it is smaller than the sum of its proper divisors (1312425324).

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

516565140 is a wasteful number, since it uses less digits than its factorization.

516565140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 516565140 is about 22728.0694296722. The cubic root of 516565140 is about 802.3706451960.

Adding to 516565140 its reverse (41565615), we get a triangular number (558130755 = T₃₃₄₁₀).

The spelling of 516565140 in words is "five hundred sixteen million, five hundred sixty-five thousand, one hundred forty".