54139001442241 has 27 divisors (see below), whose sum is σ = 57390173950563. Its totient is φ = 51064560373680.

The previous prime is 54139001442223. The next prime is 54139001442257. The reversal of 54139001442241 is 14224410093145.

It is a happy number.

The square root of 54139001442241 is 7357921.

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

It can be written as a sum of positive squares in only one way, i.e., 3649165857841 + 50489835584400 = 1910279^2 + 7105620^2 .

It is not a de Polignac number, because 54139001442241 - 2¹⁷ = 54139001311169 is a prime.

It is a super-3 number, since 3×54139001442241³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54139001442194 and 54139001442203.

It is not an unprimeable number, because it can be changed into a prime (54139001442541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37885934515 + ... + 37885935943.

It is an arithmetic number, because the mean of its divisors is an integer number (2125561998169).

Almost surely, 2^{54139001442241} is an apocalyptic number.

54139001442241 is the 7357921-st square number.

54139001442241 is the 3678961-st centered octagonal number.

It is an amenable number.

54139001442241 is a deficient number, since it is larger than the sum of its proper divisors (3251172508322).

54139001442241 is an frugal number, since it uses more digits than its factorization.

54139001442241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 54139001442241 in words is "fifty-four trillion, one hundred thirty-nine billion, one million, four hundred forty-two thousand, two hundred forty-one".