516516 has 96 divisors (see below), whose sum is σ = 1655808. Its totient is φ = 120960.

The previous prime is 516499. The next prime is 516517. The reversal of 516516 is 615615.

516516 = T₁₃₃ + T₁₃₄ + ... + T₁₇₅.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516516.

It is not an unprimeable number, because it can be changed into a prime (516517) by changing a digit.

516516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11991 + ... + 12033.

It is an arithmetic number, because the mean of its divisors is an integer number (17248).

2⁵¹⁶⁵¹⁶ 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 516516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827904).

516516 is an abundant number, since it is smaller than the sum of its proper divisors (1139292).

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

516516 is a wasteful number, since it uses less digits than its factorization.

516516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 516516 is about 718.6904757961. The cubic root of 516516 is about 80.2345201652.

Subtracting 516516 from its reverse (615615), we obtain a palindrome (99099).

The spelling of 516516 in words is "five hundred sixteen thousand, five hundred sixteen".