509063399438832 has 80 divisors (see below), whose sum is σ = 1669943426740480. Its totient is φ = 145446685553088.

The previous prime is 509063399438813. The next prime is 509063399438837. The reversal of 509063399438832 is 238834993360905.

509063399438832 is a `hidden beast` number, since 5 + 0 + 90 + 6 + 3 + 399 + 43 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509063399438837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84170532598 + ... + 84170538645.

It is an arithmetic number, because the mean of its divisors is an integer number (20874292834256).

Almost surely, 2^{509063399438832} is an apocalyptic number.

It is an amenable number.

509063399438832 is an abundant number, since it is smaller than the sum of its proper divisors (1160880027301648).

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

509063399438832 is a wasteful number, since it uses less digits than its factorization.

509063399438832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168341071267 (or 168341071255 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 509063399438832 in words is "five hundred nine trillion, sixty-three billion, three hundred ninety-nine million, four hundred thirty-eight thousand, eight hundred thirty-two".