54601133100 has 72 divisors (see below), whose sum is σ = 162249021648. Its totient is φ = 14166777600.

The previous prime is 54601133087. The next prime is 54601133101. The reversal of 54601133100 is 133110645.

It is a super-3 number, since 3×54601133100³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (54601133101) 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 23 ways as a sum of consecutive naturals, for example, 2448411 + ... + 2470610.

It is an arithmetic number, because the mean of its divisors is an integer number (2253458634).

Almost surely, 2^54601133100 is an apocalyptic number.

54601133100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54601133100 is an abundant number, since it is smaller than the sum of its proper divisors (107647888548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54601133100 is a wasteful number, since it uses less digits than its factorization.

54601133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919075 (or 4919068 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 54601133100 its reverse (133110645), we get a palindrome (54734243745).

The spelling of 54601133100 in words is "fifty-four billion, six hundred one million, one hundred thirty-three thousand, one hundred".