509220729 has 16 divisors (see below), whose sum is σ = 794107200. Its totient is φ = 321612768.

The previous prime is 509220727. The next prime is 509220743. The reversal of 509220729 is 927022905.

It is not a de Polignac number, because 509220729 - 2¹ = 509220727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509220693 and 509220702.

It is not an unprimeable number, because it can be changed into a prime (509220721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495804 + ... + 496829.

It is an arithmetic number, because the mean of its divisors is an integer number (49631700).

Almost surely, 2^509220729 is an apocalyptic number.

It is an amenable number.

509220729 is a deficient number, since it is larger than the sum of its proper divisors (284886471).

509220729 is a wasteful number, since it uses less digits than its factorization.

509220729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992661 (or 992655 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 509220729 is about 22565.9196355921. The cubic root of 509220729 is about 798.5498358893.

The spelling of 509220729 in words is "five hundred nine million, two hundred twenty thousand, seven hundred twenty-nine".