54051135121 has 9 divisors (see below), whose sum is σ = 54480652849. Its totient is φ = 53624982784.

The previous prime is 54051135113. The next prime is 54051135143. The reversal of 54051135121 is 12153115045.

The square root of 54051135121 is 232489.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21304613521 + 32746521600 = 145961^2 + 180960^2 .

It is not a de Polignac number, because 54051135121 - 2³ = 54051135113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54051135121.

It is not an unprimeable number, because it can be changed into a prime (54051135421) 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 8 ways as a sum of consecutive naturals, for example, 31850145 + ... + 31851841.

Almost surely, 2^54051135121 is an apocalyptic number.

54051135121 is the 232489-th square number.

54051135121 is the 116245-th centered octagonal number.

It is an amenable number.

54051135121 is a deficient number, since it is larger than the sum of its proper divisors (429517728).

54051135121 is an frugal number, since it uses more digits than its factorization.

54051135121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 54051135121 in words is "fifty-four billion, fifty-one million, one hundred thirty-five thousand, one hundred twenty-one".