565516 has 24 divisors (see below), whose sum is σ = 1191680. Its totient is φ = 229392.

The previous prime is 565511. The next prime is 565517. The reversal of 565516 is 615565.

565516 is a nontrivial binomial coefficient, being equal to C(1064, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (565511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 1063.

2⁵⁶⁵⁵¹⁶ is an apocalyptic number.

565516 is the 1063-rd triangular number and also the 532-nd hexagonal number.

565516 is the 355-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595840).

565516 is an abundant number, since it is smaller than the sum of its proper divisors (626164).

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

565516 is a wasteful number, since it uses less digits than its factorization.

565516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1091 counting only the distinct ones).

The product of its digits is 4500, while the sum is 28.

The square root of 565516 is about 752.0079786811. The cubic root of 565516 is about 82.6954533229.

It can be divided in two parts, 5655 and 16, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 565516 in words is "five hundred sixty-five thousand, five hundred sixteen".