506241142605 has 24 divisors (see below), whose sum is σ = 957255979680. Its totient is φ = 245450250720.

The previous prime is 506241142601. The next prime is 506241142607.

506241142605 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 4 + 1 + 1 + 42 + 605 = 666.

506241142605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506241142605 - 2² = 506241142601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506241142605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506241142601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511354195 + ... + 511355184.

It is an arithmetic number, because the mean of its divisors is an integer number (39885665820).

Almost surely, 2^506241142605 is an apocalyptic number.

506241142605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506241142605 is a deficient number, since it is larger than the sum of its proper divisors (451014837075).

506241142605 is a wasteful number, since it uses less digits than its factorization.

506241142605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022709401 (or 1022709398 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 506241 and 142605, that added together give a palindrome (648846).

The spelling of 506241142605 in words is "five hundred six billion, two hundred forty-one million, one hundred forty-two thousand, six hundred five".