509132868057252 has 18 divisors (see below), whose sum is σ = 1286974749811478. Its totient is φ = 169710956019072.

The previous prime is 509132868057217. The next prime is 509132868057259. The reversal of 509132868057252 is 252750868231905.

It is a happy number.

509132868057252 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 3 + 2 + 8 + 6 + 8 + 0 + 572 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 310847718003876 + 198285150053376 = 17630874^2 + 14081376^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 509132868057252.

It is not an unprimeable number, because it can be changed into a prime (509132868057259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7071289834093 + ... + 7071289834164.

Almost surely, 2^{509132868057252} is an apocalyptic number.

It is an amenable number.

509132868057252 is an abundant number, since it is smaller than the sum of its proper divisors (777841881754226).

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

509132868057252 is a wasteful number, since it uses less digits than its factorization.

509132868057252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142579668267 (or 14142579668262 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 509132868057252 in words is "five hundred nine trillion, one hundred thirty-two billion, eight hundred sixty-eight million, fifty-seven thousand, two hundred fifty-two".