509121220608 has 1872 divisors, whose sum is σ = 2112779462976. Its totient is φ = 120394874880.

The previous prime is 509121220567. The next prime is 509121220609. The reversal of 509121220608 is 806022121905.

509121220608 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 21 + 2 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509121220609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6974263260 + ... + 6974263332.

It is an arithmetic number, because the mean of its divisors is an integer number (1128621508).

Almost surely, 2^509121220608 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 509121220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056389731488).

509121220608 is an abundant number, since it is smaller than the sum of its proper divisors (1603658242368).

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

509121220608 is a wasteful number, since it uses less digits than its factorization.

509121220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 509121220608 in words is "five hundred nine billion, one hundred twenty-one million, two hundred twenty thousand, six hundred eight".