509313714 has 128 divisors (see below), whose sum is σ = 1300561920. Its totient is φ = 129406464.

The previous prime is 509313703. The next prime is 509313719. The reversal of 509313714 is 417313905.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (509313719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2283807 + ... + 2284029.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^509313714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509313714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

509313714 is an abundant number, since it is smaller than the sum of its proper divisors (791248206).

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

509313714 is a wasteful number, since it uses less digits than its factorization.

509313714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 509313714 is about 22567.9798387007. The cubic root of 509313714 is about 798.5984386746.

It can be divided in two parts, 50931 and 3714, that added together give a palindrome (54645).

The spelling of 509313714 in words is "five hundred nine million, three hundred thirteen thousand, seven hundred fourteen".