509605020 has 288 divisors, whose sum is σ = 1725954048. Its totient is φ = 125908992.

The previous prime is 509605013. The next prime is 509605037. The reversal of 509605020 is 20506905.

509605020 is a `hidden beast` number, since 50 + 9 + 605 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5253612 + ... + 5253708.

It is an arithmetic number, because the mean of its divisors is an integer number (5992896).

Almost surely, 2^509605020 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 509605020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862977024).

509605020 is an abundant number, since it is smaller than the sum of its proper divisors (1216349028).

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

509605020 is a wasteful number, since it uses less digits than its factorization.

509605020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 509605020 is about 22574.4328832421. The cubic root of 509605020 is about 798.7506645501.

The spelling of 509605020 in words is "five hundred nine million, six hundred five thousand, twenty".