54312511221 has 18 divisors (see below), whose sum is σ = 81063743670. Its totient is φ = 35040324240.

The previous prime is 54312511207. The next prime is 54312511261. The reversal of 54312511221 is 12211521345.

It is a happy number.

54312511221 is a `hidden beast` number, since 5 + 431 + 2 + 5 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34250904900 + 20061606321 = 185070^2 + 141639^2 .

It is not a de Polignac number, because 54312511221 - 2⁵ = 54312511189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54312511261) 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 17 ways as a sum of consecutive naturals, for example, 3131166 + ... + 3148463.

It is an arithmetic number, because the mean of its divisors is an integer number (4503541315).

Almost surely, 2^54312511221 is an apocalyptic number.

It is an amenable number.

54312511221 is a deficient number, since it is larger than the sum of its proper divisors (26751232449).

54312511221 is a wasteful number, since it uses less digits than its factorization.

54312511221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279697 (or 6279663 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 54312511221 in words is "fifty-four billion, three hundred twelve million, five hundred eleven thousand, two hundred twenty-one".