54120313935801 has 81 divisors (see below), whose sum is σ = 80597344226191. Its totient is φ = 34995059128128.

The previous prime is 54120313935791. The next prime is 54120313935847. The reversal of 54120313935801 is 10853931302145.

The square root of 54120313935801 is 7356651.

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

54120313935801 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 0 + 31 + 39 + 3 + 580 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10392248137401 + 43728065798400 = 3223701^2 + 6612720^2 .

It is not a de Polignac number, because 54120313935801 - 2⁵ = 54120313935769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54120313935101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 115889322970 + ... + 115889323436.

Almost surely, 2^{54120313935801} is an apocalyptic number.

54120313935801 is the 7356651-st square number.

54120313935801 is the 3678326-th centered octagonal number.

It is an amenable number.

54120313935801 is a deficient number, since it is larger than the sum of its proper divisors (26477030290390).

54120313935801 is an frugal number, since it uses more digits than its factorization.

54120313935801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54120313935801 in words is "fifty-four trillion, one hundred twenty billion, three hundred thirteen million, nine hundred thirty-five thousand, eight hundred one".