509295442752 has 672 divisors, whose sum is σ = 1674069133440. Its totient is φ = 151608360960.

The previous prime is 509295442739. The next prime is 509295442753. The reversal of 509295442752 is 257244592905.

509295442752 is a `hidden beast` number, since 5 + 0 + 9 + 29 + 544 + 2 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509295442753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794532352 + ... + 794532992.

Almost surely, 2^509295442752 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 509295442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837034566720).

509295442752 is an abundant number, since it is smaller than the sum of its proper divisors (1164773690688).

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

509295442752 is a wasteful number, since it uses less digits than its factorization.

509295442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 509295442752 in words is "five hundred nine billion, two hundred ninety-five million, four hundred forty-two thousand, seven hundred fifty-two".