509345051040 has 576 divisors, whose sum is σ = 2081384968320. Its totient is φ = 115993866240.

The previous prime is 509345051029. The next prime is 509345051041. The reversal of 509345051040 is 40150543905.

509345051040 is a `hidden beast` number, since 5 + 0 + 93 + 4 + 50 + 510 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 509345050986 and 509345051004.

It is not an unprimeable number, because it can be changed into a prime (509345051041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59477799 + ... + 59486361.

It is an arithmetic number, because the mean of its divisors is an integer number (3613515570).

Almost surely, 2^509345051040 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 509345051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040692484160).

509345051040 is an abundant number, since it is smaller than the sum of its proper divisors (1572039917280).

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

509345051040 is a wasteful number, since it uses less digits than its factorization.

509345051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 509345051040 its reverse (40150543905), we get a palindrome (549495594945).

The spelling of 509345051040 in words is "five hundred nine billion, three hundred forty-five million, fifty-one thousand, forty".