83518954101 has 96 divisors (see below), whose sum is σ = 143515846656. Its totient is φ = 46227456000.

The previous prime is 83518954091. The next prime is 83518954139. The reversal of 83518954101 is 10145981538.

83518954101 is a `hidden beast` number, since 8 + 3 + 518 + 95 + 41 + 0 + 1 = 666.

It is not a de Polignac number, because 83518954101 - 2¹¹ = 83518952053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83518954201) 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 95 ways as a sum of consecutive naturals, for example, 13176405 + ... + 13182741.

It is an arithmetic number, because the mean of its divisors is an integer number (1494956736).

Almost surely, 2^83518954101 is an apocalyptic number.

It is an amenable number.

83518954101 is a deficient number, since it is larger than the sum of its proper divisors (59996892555).

83518954101 is a wasteful number, since it uses less digits than its factorization.

83518954101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 83518954101 in words is "eighty-three billion, five hundred eighteen million, nine hundred fifty-four thousand, one hundred one".