509783135232 has 352 divisors, whose sum is σ = 1638302202880. Its totient is φ = 137673768960.

The previous prime is 509783135231. The next prime is 509783135263. The reversal of 509783135232 is 232531387905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509783135231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223489932 + ... + 223492212.

Almost surely, 2^509783135232 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 509783135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819151101440).

509783135232 is an abundant number, since it is smaller than the sum of its proper divisors (1128519067648).

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

509783135232 is a wasteful number, since it uses less digits than its factorization.

509783135232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 509783135232 in words is "five hundred nine billion, seven hundred eighty-three million, one hundred thirty-five thousand, two hundred thirty-two".