505430242031232 has 192 divisors, whose sum is σ = 1662217376751360. Its totient is φ = 144407445719040.

The previous prime is 505430242031107. The next prime is 505430242031261. The reversal of 505430242031232 is 232130242034505.

505430242031232 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 302 + 4 + 2 + 0 + 312 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546294057 + ... + 1546620887.

It is an arithmetic number, because the mean of its divisors is an integer number (8657382170580).

Almost surely, 2^{505430242031232} is an apocalyptic number.

It is an amenable number.

505430242031232 is an abundant number, since it is smaller than the sum of its proper divisors (1156787134720128).

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

505430242031232 is a wasteful number, since it uses less digits than its factorization.

505430242031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518631 (or 518616 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 505430242031232 its reverse (232130242034505), we get a palindrome (737560484065737).

The spelling of 505430242031232 in words is "five hundred five trillion, four hundred thirty billion, two hundred forty-two million, thirty-one thousand, two hundred thirty-two".