54010224801 has 81 divisors (see below), whose sum is σ = 86792873817. Its totient is φ = 32350219200.

The previous prime is 54010224791. The next prime is 54010224823. The reversal of 54010224801 is 10842201045.

The square root of 54010224801 is 232401.

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 2037168225 + 51973056576 = 45135^2 + 227976^2 .

It is not a de Polignac number, because 54010224801 - 2¹¹ = 54010222753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54010224841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 534754651 + ... + 534754751.

Almost surely, 2^54010224801 is an apocalyptic number.

54010224801 is the 232401-st square number.

54010224801 is the 116201-st centered octagonal number.

It is an amenable number.

54010224801 is a deficient number, since it is larger than the sum of its proper divisors (32782649016).

54010224801 is a wasteful number, since it uses less digits than its factorization.

54010224801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 54010224801 its reverse (10842201045), we get a palindrome (64852425846).

The spelling of 54010224801 in words is "fifty-four billion, ten million, two hundred twenty-four thousand, eight hundred one".