509975312 has 100 divisors (see below), whose sum is σ = 1246140480. Its totient is φ = 198052800.

The previous prime is 509975309. The next prime is 509975317. The reversal of 509975312 is 213579905.

509975312 is nontrivially palindromic in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 509975312.

It is not an unprimeable number, because it can be changed into a prime (509975317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1639637 + ... + 1639947.

Almost surely, 2^509975312 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 509975312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623070240).

509975312 is an abundant number, since it is smaller than the sum of its proper divisors (736165168).

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

509975312 is an equidigital number, since it uses as much as digits as its factorization.

509975312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 509975312 is about 22582.6329731500. The cubic root of 509975312 is about 798.9440819094.

The spelling of 509975312 in words is "five hundred nine million, nine hundred seventy-five thousand, three hundred twelve".