506443445352 has 96 divisors (see below), whose sum is σ = 1477360684800. Its totient is φ = 155804070528.

The previous prime is 506443445119. The next prime is 506443445371. The reversal of 506443445352 is 253544344605.

506443445352 is a `hidden beast` number, since 50 + 64 + 4 + 3 + 4 + 4 + 535 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506443445298 and 506443445307.

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, 6384349 + ... + 6463187.

It is an arithmetic number, because the mean of its divisors is an integer number (15389173800).

Almost surely, 2^506443445352 is an apocalyptic number.

506443445352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

506443445352 is an abundant number, since it is smaller than the sum of its proper divisors (970917239448).

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

506443445352 is a wasteful number, since it uses less digits than its factorization.

506443445352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85727 (or 85720 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 506443445352 its reverse (253544344605), we get a palindrome (759987789957).

The spelling of 506443445352 in words is "five hundred six billion, four hundred forty-three million, four hundred forty-five thousand, three hundred fifty-two".