509652864 has 128 divisors (see below), whose sum is σ = 1719148800. Its totient is φ = 145608192.

The previous prime is 509652863. The next prime is 509652889. The reversal of 509652864 is 468256905.

509652864 is a `hidden beast` number, since 509 + 65 + 2 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509652863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13659 + ... + 34725.

It is an arithmetic number, because the mean of its divisors is an integer number (13430850).

Almost surely, 2^509652864 is an apocalyptic number.

509652864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859574400).

509652864 is an abundant number, since it is smaller than the sum of its proper divisors (1209495936).

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

509652864 is a wasteful number, since it uses less digits than its factorization.

509652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21097 (or 21079 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 509652864 is about 22575.4925527662. The cubic root of 509652864 is about 798.7756605303.

The spelling of 509652864 in words is "five hundred nine million, six hundred fifty-two thousand, eight hundred sixty-four".