83200450113 has 24 divisors (see below), whose sum is σ = 131149601856. Its totient is φ = 50406876000.

The previous prime is 83200450087. The next prime is 83200450117. The reversal of 83200450113 is 31105400238.

It is a happy number.

83200450113 is a `hidden beast` number, since 8 + 3 + 200 + 450 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 83200450113 - 2¹³ = 83200441921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83200450117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 140263 + ... + 431363.

It is an arithmetic number, because the mean of its divisors is an integer number (5464566744).

Almost surely, 2^83200450113 is an apocalyptic number.

It is an amenable number.

83200450113 is a deficient number, since it is larger than the sum of its proper divisors (47949151743).

83200450113 is a wasteful number, since it uses less digits than its factorization.

83200450113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294005 (or 294002 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 83200450113 in words is "eighty-three billion, two hundred million, four hundred fifty thousand, one hundred thirteen".