511566 has 32 divisors (see below), whose sum is σ = 1168128. Its totient is φ = 147840.

The previous prime is 511559. The next prime is 511573. The reversal of 511566 is 665115.

511566 is a nontrivial binomial coefficient, being equal to C(1012, 2).

It is an interprime number because it is at equal distance from previous prime (511559) and next prime (511573).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (36504).

2⁵¹¹⁵⁶⁶ is an apocalyptic number.

511566 is the 1011-st triangular number and also the 506-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584064).

511566 is an abundant number, since it is smaller than the sum of its proper divisors (656562).

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

511566 is a wasteful number, since it uses less digits than its factorization.

511566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376.

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

The square root of 511566 is about 715.2384217867. The cubic root of 511566 is about 79.9773894435.

It can be divided in two parts, 51156 and 6, that multiplied together give a triangular number (306936 = T₇₈₃).

The spelling of 511566 in words is "five hundred eleven thousand, five hundred sixty-six".