509617725012 has 576 divisors, whose sum is σ = 1606193971200. Its totient is φ = 139482777600.

The previous prime is 509617725011. The next prime is 509617725061. The reversal of 509617725012 is 210527716905.

509617725012 is a `hidden beast` number, since 5 + 0 + 9 + 617 + 7 + 25 + 0 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509617725011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 839567613 + ... + 839568219.

It is an arithmetic number, because the mean of its divisors is an integer number (2788531200).

Almost surely, 2^509617725012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509617725012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803096985600).

509617725012 is an abundant number, since it is smaller than the sum of its proper divisors (1096576246188).

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

509617725012 is a wasteful number, since it uses less digits than its factorization.

509617725012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 509617725012 in words is "five hundred nine billion, six hundred seventeen million, seven hundred twenty-five thousand, twelve".