509777151936 has 448 divisors, whose sum is σ = 1537666744320. Its totient is φ = 147970437120.

The previous prime is 509777151901. The next prime is 509777151959. The reversal of 509777151936 is 639151777905.

It is a self number, because there is not a number n which added to its sum of digits gives 509777151936.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 554708085 + ... + 554709003.

It is an arithmetic number, because the mean of its divisors is an integer number (3432291840).

Almost surely, 2^509777151936 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 509777151936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768833372160).

509777151936 is an abundant number, since it is smaller than the sum of its proper divisors (1027889592384).

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

509777151936 is a wasteful number, since it uses less digits than its factorization.

509777151936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 12502350, while the sum is 60.

The spelling of 509777151936 in words is "five hundred nine billion, seven hundred seventy-seven million, one hundred fifty-one thousand, nine hundred thirty-six".