509755122632 has 36 divisors (see below), whose sum is σ = 1111869174465. Its totient is φ = 218460422880.

The previous prime is 509755122581. The next prime is 509755122641. The reversal of 509755122632 is 236221557905.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 478484859076 + 31270263556 = 691726^2 + 176834^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=504854.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14117882 + ... + 14153942.

Almost surely, 2^509755122632 is an apocalyptic number.

It is an amenable number.

509755122632 is an abundant number, since it is smaller than the sum of its proper divisors (602114051833).

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

509755122632 is an frugal number, since it uses more digits than its factorization.

509755122632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72142 (or 36070 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 47.

The spelling of 509755122632 in words is "five hundred nine billion, seven hundred fifty-five million, one hundred twenty-two thousand, six hundred thirty-two".