5200132131205 has 48 divisors (see below), whose sum is σ = 7439623338672. Its totient is φ = 3472632627200.

The previous prime is 5200132131167. The next prime is 5200132131223. The reversal of 5200132131205 is 5021312310025.

It can be written as a sum of positive squares in 8 ways, for example, as 26367913924 + 5173764217281 = 162382^2 + 2274591^2 .

It is not a de Polignac number, because 5200132131205 - 2¹⁵ = 5200132098437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5200132131205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5744212 + ... + 6587581.

It is an arithmetic number, because the mean of its divisors is an integer number (154992152889).

Almost surely, 2^{5200132131205} is an apocalyptic number.

5200132131205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5200132131205 is a deficient number, since it is larger than the sum of its proper divisors (2239491207467).

5200132131205 is a wasteful number, since it uses less digits than its factorization.

5200132131205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12331878 (or 12331867 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 5200132131205 in words is "five trillion, two hundred billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred five".