205200083837 has 12 divisors (see below), whose sum is σ = 238815227196. Its totient is φ = 175802457600.

The previous prime is 205200083831. The next prime is 205200083849. The reversal of 205200083837 is 738380002502.

It can be written as a sum of positive squares in 2 ways, for example, as 5016322276 + 200183761561 = 70826^2 + 447419^2 .

It is not a de Polignac number, because 205200083837 - 2¹⁸ = 205199821693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205200083837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205200083831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887414 + ... + 1094487.

It is an arithmetic number, because the mean of its divisors is an integer number (19901268933).

Almost surely, 2^205200083837 is an apocalyptic number.

It is an amenable number.

205200083837 is a deficient number, since it is larger than the sum of its proper divisors (33615143359).

205200083837 is a wasteful number, since it uses less digits than its factorization.

205200083837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984028 (or 1984021 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 205200083837 in words is "two hundred five billion, two hundred million, eighty-three thousand, eight hundred thirty-seven".