506231747132605 has 48 divisors (see below), whose sum is σ = 663858513450000. Its totient is φ = 370390792531968.

The previous prime is 506231747132603. The next prime is 506231747132621.

506231747132605 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 502659000723364 + 3572746409241 = 22420058^2 + 1890171^2 .

It is not a de Polignac number, because 506231747132605 - 2¹ = 506231747132603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506231747132603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3541273671 + ... + 3541416619.

It is an arithmetic number, because the mean of its divisors is an integer number (13830385696875).

Almost surely, 2^{506231747132605} is an apocalyptic number.

It is an amenable number.

506231747132605 is a deficient number, since it is larger than the sum of its proper divisors (157626766317395).

506231747132605 is a wasteful number, since it uses less digits than its factorization.

506231747132605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181538 (or 181525 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 506231747132605 in words is "five hundred six trillion, two hundred thirty-one billion, seven hundred forty-seven million, one hundred thirty-two thousand, six hundred five".