509782752 has 72 divisors (see below), whose sum is σ = 1456738920. Its totient is φ = 169102080.

The previous prime is 509782751. The next prime is 509782771. The reversal of 509782752 is 257287905.

It is a happy number.

509782752 is a `hidden beast` number, since 509 + 78 + 2 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 509782698 and 509782707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509782751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56574 + ... + 64962.

It is an arithmetic number, because the mean of its divisors is an integer number (20232485).

Almost surely, 2^509782752 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 509782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728369460).

509782752 is an abundant number, since it is smaller than the sum of its proper divisors (946956168).

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

509782752 is a wasteful number, since it uses less digits than its factorization.

509782752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 509782752 is about 22578.3691173654. The cubic root of 509782752 is about 798.8435123092.

The spelling of 509782752 in words is "five hundred nine million, seven hundred eighty-two thousand, seven hundred fifty-two".