54246156309601 has 27 divisors (see below), whose sum is σ = 59070162942777. Its totient is φ = 49805243285760.

The previous prime is 54246156309571. The next prime is 54246156309661. The reversal of 54246156309601 is 10690365164245.

The square root of 54246156309601 is 7365199.

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 3821614461025 + 50424541848576 = 1954895^2 + 7101024^2 .

It is not a de Polignac number, because 54246156309601 - 2⁹ = 54246156309089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54246156309661) 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 26 ways as a sum of consecutive naturals, for example, 5133538420 + ... + 5133548986.

Almost surely, 2^{54246156309601} is an apocalyptic number.

54246156309601 is the 7365199-th square number.

54246156309601 is the 3682600-th centered octagonal number.

It is an amenable number.

54246156309601 is a deficient number, since it is larger than the sum of its proper divisors (4824006633176).

54246156309601 is an frugal number, since it uses more digits than its factorization.

54246156309601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21250 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 54246156309601 in words is "fifty-four trillion, two hundred forty-six billion, one hundred fifty-six million, three hundred nine thousand, six hundred one".