54120608202241 has 27 divisors (see below), whose sum is σ = 64532122758153. Its totient is φ = 45255885857280.

The previous prime is 54120608202233. The next prime is 54120608202281. The reversal of 54120608202241 is 14220280602145.

The square root of 54120608202241 is 7356671.

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 23079040524225 + 31041567678016 = 4804065^2 + 5571496^2 .

It is not a de Polignac number, because 54120608202241 - 2³ = 54120608202233 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 54120608202241.

It is not an unprimeable number, because it can be changed into a prime (54120608202281) 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, 2111351761 + ... + 2111377393.

Almost surely, 2^{54120608202241} is an apocalyptic number.

54120608202241 is the 7356671-st square number.

54120608202241 is the 3678336-th centered octagonal number.

It is an amenable number.

54120608202241 is a deficient number, since it is larger than the sum of its proper divisors (10411514555912).

54120608202241 is an frugal number, since it uses more digits than its factorization.

54120608202241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51362 (or 25681 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

Adding to 54120608202241 its reverse (14220280602145), we get a palindrome (68340888804386).

The spelling of 54120608202241 in words is "fifty-four trillion, one hundred twenty billion, six hundred eight million, two hundred two thousand, two hundred forty-one".