509901256704 has 288 divisors, whose sum is σ = 1583875762560. Its totient is φ = 145453400064.

The previous prime is 509901256703. The next prime is 509901256717. The reversal of 509901256704 is 407652109905.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509901256703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295937187 + ... + 295938909.

It is an arithmetic number, because the mean of its divisors is an integer number (5499568620).

Almost surely, 2^509901256704 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 509901256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791937881280).

509901256704 is an abundant number, since it is smaller than the sum of its proper divisors (1073974505856).

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

509901256704 is a wasteful number, since it uses less digits than its factorization.

509901256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 509901256704 in words is "five hundred nine billion, nine hundred one million, two hundred fifty-six thousand, seven hundred four".