509129713 has 8 divisors (see below), whose sum is σ = 536625000. Its totient is φ = 482297088.

The previous prime is 509129671. The next prime is 509129723. The reversal of 509129713 is 317921905.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 467294689 = 6468^2 + 21617^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509129713 - 2¹³ = 509121521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509129723) 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 7 ways as a sum of consecutive naturals, for example, 164088 + ... + 167161.

It is an arithmetic number, because the mean of its divisors is an integer number (67078125).

Almost surely, 2^509129713 is an apocalyptic number.

509129713 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

509129713 is a deficient number, since it is larger than the sum of its proper divisors (27495287).

509129713 is a wasteful number, since it uses less digits than its factorization.

509129713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331331.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 509129713 is about 22563.9028760540. The cubic root of 509129713 is about 798.5022565598.

The spelling of 509129713 in words is "five hundred nine million, one hundred twenty-nine thousand, seven hundred thirteen".