509267712 has 72 divisors (see below), whose sum is σ = 1363585104. Its totient is φ = 168730624.

The previous prime is 509267687. The next prime is 509267713. The reversal of 509267712 is 217762905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509267713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130948 + ... + 134780.

It is an arithmetic number, because the mean of its divisors is an integer number (18938682).

Almost surely, 2^509267712 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 509267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681792552).

509267712 is an abundant number, since it is smaller than the sum of its proper divisors (854317392).

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

509267712 is a wasteful number, since it uses less digits than its factorization.

509267712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 509267712 is about 22566.9606283168. The cubic root of 509267712 is about 798.5743944032.

The spelling of 509267712 in words is "five hundred nine million, two hundred sixty-seven thousand, seven hundred twelve".