509351327848 has 128 divisors (see below), whose sum is σ = 1095551308800. Its totient is φ = 219943987200.

The previous prime is 509351327813. The next prime is 509351327857. The reversal of 509351327848 is 848723153905.

It is a super-2 number, since 2×509351327848² (a number of 24 digits) contains 22 as substring.

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, 27201033 + ... + 27219751.

It is an arithmetic number, because the mean of its divisors is an integer number (8558994600).

Almost surely, 2^509351327848 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 509351327848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547775654400).

509351327848 is an abundant number, since it is smaller than the sum of its proper divisors (586199980952).

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

509351327848 is a wasteful number, since it uses less digits than its factorization.

509351327848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18971 (or 18967 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 509351327848 in words is "five hundred nine billion, three hundred fifty-one million, three hundred twenty-seven thousand, eight hundred forty-eight".