509195612988 has 72 divisors (see below), whose sum is σ = 1311734668608. Its totient is φ = 166489285248.

The previous prime is 509195612951. The next prime is 509195612993. The reversal of 509195612988 is 889216591905.

509195612988 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 9 + 5 + 612 + 9 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8485506 + ... + 8545302.

It is an arithmetic number, because the mean of its divisors is an integer number (18218537064).

Almost surely, 2^509195612988 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 509195612988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655867334304).

509195612988 is an abundant number, since it is smaller than the sum of its proper divisors (802539055620).

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

509195612988 is a wasteful number, since it uses less digits than its factorization.

509195612988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64323 (or 64318 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 509195612988 in words is "five hundred nine billion, one hundred ninety-five million, six hundred twelve thousand, nine hundred eighty-eight".