54952316958289 has 9 divisors (see below), whose sum is σ = 57996915301467. Its totient is φ = 52059956316264.

The previous prime is 54952316958269. The next prime is 54952316958299. The reversal of 54952316958289 is 98285961325945.

The square root of 54952316958289 is 7412983.

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

It can be written as a sum of positive squares in only one way, i.e., 175917330625 + 54776399627664 = 419425^2 + 7401108^2 .

It is not a de Polignac number, because 54952316958289 - 2⁵ = 54952316958257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54952316958239) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140651599 + ... + 141041755.

It is an arithmetic number, because the mean of its divisors is an integer number (6444101700163).

Almost surely, 2^{54952316958289} is an apocalyptic number.

54952316958289 is the 7412983-rd square number.

54952316958289 is the 3706492-nd centered octagonal number.

It is an amenable number.

54952316958289 is a deficient number, since it is larger than the sum of its proper divisors (3044598343178).

54952316958289 is an frugal number, since it uses more digits than its factorization.

54952316958289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780352 (or 390176 counting only the distinct ones).

The product of its digits is 1679616000, while the sum is 76.

The spelling of 54952316958289 in words is "fifty-four trillion, nine hundred fifty-two billion, three hundred sixteen million, nine hundred fifty-eight thousand, two hundred eighty-nine".