506384232552 has 160 divisors (see below), whose sum is σ = 1548970948800. Its totient is φ = 153282585600.

The previous prime is 506384232527. The next prime is 506384232559. The reversal of 506384232552 is 255232483605.

506384232552 is a `hidden beast` number, since 5 + 0 + 63 + 8 + 4 + 2 + 32 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506384232498 and 506384232507.

It is not an unprimeable number, because it can be changed into a prime (506384232559) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6583677 + ... + 6660147.

It is an arithmetic number, because the mean of its divisors is an integer number (9681068430).

Almost surely, 2^506384232552 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 506384232552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774485474400).

506384232552 is an abundant number, since it is smaller than the sum of its proper divisors (1042586716248).

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

506384232552 is a wasteful number, since it uses less digits than its factorization.

506384232552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77429 (or 77416 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 506384232552 in words is "five hundred six billion, three hundred eighty-four million, two hundred thirty-two thousand, five hundred fifty-two".