506133331605 has 96 divisors (see below), whose sum is σ = 990105742080. Its totient is φ = 237041280000.

The previous prime is 506133331577. The next prime is 506133331763.

506133331605 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 333 + 316 + 0 + 5 = 666.

506133331605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506133331605 - 2⁶ = 506133331541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506133331605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1926336 + ... + 2173254.

It is an arithmetic number, because the mean of its divisors is an integer number (10313601480).

Almost surely, 2^506133331605 is an apocalyptic number.

506133331605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506133331605 is a deficient number, since it is larger than the sum of its proper divisors (483972410475).

506133331605 is a wasteful number, since it uses less digits than its factorization.

506133331605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247083 (or 247080 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

It can be divided in two parts, 506133 and 331605, that added together give a palindrome (837738).

The spelling of 506133331605 in words is "five hundred six billion, one hundred thirty-three million, three hundred thirty-one thousand, six hundred five".