509135780 has 48 divisors (see below), whose sum is σ = 1144584000. Its totient is φ = 189657216.

The previous prime is 509135777. The next prime is 509135789. The reversal of 509135780 is 87531905.

It is a super-3 number, since 3×509135780³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (509135789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11066 + ... + 33774.

It is an arithmetic number, because the mean of its divisors is an integer number (23845500).

Almost surely, 2^509135780 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 509135780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572292000).

509135780 is an abundant number, since it is smaller than the sum of its proper divisors (635448220).

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

509135780 is a wasteful number, since it uses less digits than its factorization.

509135780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22796 (or 22794 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 509135780 is about 22564.0373160479. The cubic root of 509135780 is about 798.5054283081.

The spelling of 509135780 in words is "five hundred nine million, one hundred thirty-five thousand, seven hundred eighty".