506013352640505 has 24 divisors (see below), whose sum is σ = 877875030499272. Its totient is φ = 269632182150144.

The previous prime is 506013352640491. The next prime is 506013352640507. The reversal of 506013352640505 is 505046253310605.

506013352640505 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 1 + 33 + 52 + 64 + 0 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 180281763216 + 505833070877289 = 424596^2 + 22490733^2 .

It is not a de Polignac number, because 506013352640505 - 2¹² = 506013352636409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (506013352640507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5033405944 + ... + 5033506473.

It is an arithmetic number, because the mean of its divisors is an integer number (36578126270803).

Almost surely, 2^{506013352640505} is an apocalyptic number.

It is an amenable number.

506013352640505 is a deficient number, since it is larger than the sum of its proper divisors (371861677858767).

506013352640505 is a wasteful number, since it uses less digits than its factorization.

506013352640505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066913545 (or 10066913542 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 506013352640505 in words is "five hundred six trillion, thirteen billion, three hundred fifty-two million, six hundred forty thousand, five hundred five".