509273136 has 80 divisors (see below), whose sum is σ = 1497508320. Its totient is φ = 165611520.

The previous prime is 509273113. The next prime is 509273137. The reversal of 509273136 is 631372905.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 509273136.

It is not an unprimeable number, because it can be changed into a prime (509273137) 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, 3336 + ... + 32088.

It is an arithmetic number, because the mean of its divisors is an integer number (18718854).

Almost surely, 2^509273136 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 509273136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748754160).

509273136 is an abundant number, since it is smaller than the sum of its proper divisors (988235184).

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

509273136 is a wasteful number, since it uses less digits than its factorization.

509273136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28811 (or 28799 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 509273136 is about 22567.0808036839. The cubic root of 509273136 is about 798.5772294885.

The spelling of 509273136 in words is "five hundred nine million, two hundred seventy-three thousand, one hundred thirty-six".