54753680582329 has 27 divisors (see below), whose sum is σ = 58409377948551. Its totient is φ = 51316334737920.

The previous prime is 54753680582327. The next prime is 54753680582333. The reversal of 54753680582329 is 92328508635745.

The square root of 54753680582329 is 7399573.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11450068602025 + 43303611980304 = 3383795^2 + 6580548^2 .

It is not a de Polignac number, because 54753680582329 - 2¹ = 54753680582327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54753680582327) 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, 35347759447 + ... + 35347760995.

Almost surely, 2^{54753680582329} is an apocalyptic number.

54753680582329 is the 7399573-rd square number.

54753680582329 is the 3699787-th centered octagonal number.

It is an amenable number.

54753680582329 is a deficient number, since it is larger than the sum of its proper divisors (3655697366222).

54753680582329 is an frugal number, since it uses more digits than its factorization.

54753680582329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 67.

The spelling of 54753680582329 in words is "fifty-four trillion, seven hundred fifty-three billion, six hundred eighty million, five hundred eighty-two thousand, three hundred twenty-nine".