509175879212 has 192 divisors, whose sum is σ = 1215010987008. Its totient is φ = 180278784000.

The previous prime is 509175879197. The next prime is 509175879227. The reversal of 509175879212 is 212978571905.

It is an interprime number because it is at equal distance from previous prime (509175879197) and next prime (509175879227).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201972512 + ... + 201975032.

It is an arithmetic number, because the mean of its divisors is an integer number (6328182224).

Almost surely, 2^509175879212 is an apocalyptic number.

509175879212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509175879212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607505493504).

509175879212 is an abundant number, since it is smaller than the sum of its proper divisors (705835107796).

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

509175879212 is a wasteful number, since it uses less digits than its factorization.

509175879212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 56.

The spelling of 509175879212 in words is "five hundred nine billion, one hundred seventy-five million, eight hundred seventy-nine thousand, two hundred twelve".