509111064 has 192 divisors, whose sum is σ = 1734670080. Its totient is φ = 131040000.

The previous prime is 509111051. The next prime is 509111069. The reversal of 509111064 is 460111905.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509111069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725914 + ... + 726614.

It is an arithmetic number, because the mean of its divisors is an integer number (9034740).

Almost surely, 2^509111064 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 509111064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867335040).

509111064 is an abundant number, since it is smaller than the sum of its proper divisors (1225559016).

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

509111064 is a wasteful number, since it uses less digits than its factorization.

509111064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 509111064 is about 22563.4896237262. The cubic root of 509111064 is about 798.4925069485.

Adding to 509111064 its reverse (460111905), we get a palindrome (969222969).

The spelling of 509111064 in words is "five hundred nine million, one hundred eleven thousand, sixty-four".