509704270144 has 14 divisors (see below), whose sum is σ = 1011444411194. Its totient is φ = 254852135040.

The previous prime is 509704270133. The next prime is 509704270183. The reversal of 509704270144 is 441072407905.

It can be written as a sum of positive squares in only one way, i.e., 276886440000 + 232817830144 = 526200^2 + 482512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 509704270144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3982064547 + ... + 3982064674.

It is an arithmetic number, because the mean of its divisors is an integer number (72246029371).

Almost surely, 2^509704270144 is an apocalyptic number.

It is an amenable number.

509704270144 is a deficient number, since it is larger than the sum of its proper divisors (501740141050).

509704270144 is an equidigital number, since it uses as much as digits as its factorization.

509704270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964129233 (or 7964129223 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 509704270144 in words is "five hundred nine billion, seven hundred four million, two hundred seventy thousand, one hundred forty-four".