83575358135073 has 36 divisors (see below), whose sum is σ = 140988822902928. Its totient is φ = 47567079126000.

The previous prime is 83575358135053. The next prime is 83575358135083. The reversal of 83575358135073 is 37053185357538.

83575358135073 is a `hidden beast` number, since 8 + 3 + 5 + 75 + 3 + 58 + 1 + 3 + 507 + 3 = 666.

It is not a de Polignac number, because 83575358135073 - 2⁸ = 83575358134817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83575358135073.

It is not an unprimeable number, because it can be changed into a prime (83575358135053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377405811 + ... + 377627192.

It is an arithmetic number, because the mean of its divisors is an integer number (3916356191748).

Almost surely, 2^{83575358135073} is an apocalyptic number.

It is an amenable number.

83575358135073 is a deficient number, since it is larger than the sum of its proper divisors (57413464767855).

83575358135073 is a wasteful number, since it uses less digits than its factorization.

83575358135073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755033274 (or 755033264 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 83575358135073 in words is "eighty-three trillion, five hundred seventy-five billion, three hundred fifty-eight million, one hundred thirty-five thousand, seventy-three".