509666054625 has 192 divisors, whose sum is σ = 1144422010368. Its totient is φ = 212473152000.

The previous prime is 509666054563. The next prime is 509666054719. The reversal of 509666054625 is 526450666905.

It is a happy number.

It is not a de Polignac number, because 509666054625 - 2⁶ = 509666054561 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8467135 + ... + 8527115.

It is an arithmetic number, because the mean of its divisors is an integer number (5960531304).

Almost surely, 2^509666054625 is an apocalyptic number.

It is an amenable number.

509666054625 is an abundant number, since it is smaller than the sum of its proper divisors (634755955743).

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

509666054625 is a wasteful number, since it uses less digits than its factorization.

509666054625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60105 (or 60092 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 509666054625 in words is "five hundred nine billion, six hundred sixty-six million, fifty-four thousand, six hundred twenty-five".