509347103634432 has 352 divisors, whose sum is σ = 1726031419242240. Its totient is φ = 145350441861120.

The previous prime is 509347103634427. The next prime is 509347103634449. The reversal of 509347103634432 is 234436301743905.

It is a happy number.

509347103634432 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 47 + 103 + 63 + 4 + 432 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157290258 + ... + 160495854.

It is an arithmetic number, because the mean of its divisors is an integer number (4903498350120).

Almost surely, 2^{509347103634432} 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 509347103634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863015709621120).

509347103634432 is an abundant number, since it is smaller than the sum of its proper divisors (1216684315607808).

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

509347103634432 is a wasteful number, since it uses less digits than its factorization.

509347103634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206454 (or 3206430 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 509347103634432 in words is "five hundred nine trillion, three hundred forty-seven billion, one hundred three million, six hundred thirty-four thousand, four hundred thirty-two".