509861568 has 112 divisors (see below), whose sum is σ = 1392814080. Its totient is φ = 164505600.

The previous prime is 509861543. The next prime is 509861581. The reversal of 509861568 is 865168905.

It is a super-3 number, since 3×509861568³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1881273 + ... + 1881543.

It is an arithmetic number, because the mean of its divisors is an integer number (12435840).

Almost surely, 2^509861568 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 509861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696407040).

509861568 is an abundant number, since it is smaller than the sum of its proper divisors (882952512).

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

509861568 is a wasteful number, since it uses less digits than its factorization.

509861568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 509861568 is about 22580.1144372654. The cubic root of 509861568 is about 798.8846791301.

It can be divided in two parts, 5098 and 61568, that added together give a palindrome (66666).

The spelling of 509861568 in words is "five hundred nine million, eight hundred sixty-one thousand, five hundred sixty-eight".