509678910725 has 12 divisors (see below), whose sum is σ = 633812753700. Its totient is φ = 406574803200.

The previous prime is 509678910709. The next prime is 509678910731. The reversal of 509678910725 is 527019876905.

It is a Cunningham number, because it is equal to 713918²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 39959210404 + 469719700321 = 199898^2 + 685361^2 .

It is not a de Polignac number, because 509678910725 - 2⁴ = 509678910709 is a prime.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 29199236 + ... + 29216685.

It is an arithmetic number, because the mean of its divisors is an integer number (52817729475).

Almost surely, 2^509678910725 is an apocalyptic number.

It is an amenable number.

509678910725 is a deficient number, since it is larger than the sum of its proper divisors (124133842975).

509678910725 is a wasteful number, since it uses less digits than its factorization.

509678910725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58416280 (or 58416275 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 59.

The spelling of 509678910725 in words is "five hundred nine billion, six hundred seventy-eight million, nine hundred ten thousand, seven hundred twenty-five".