55358971810321 has 9 divisors (see below), whose sum is σ = 55425546213361. Its totient is φ = 55292477304064.

The previous prime is 55358971810277. The next prime is 55358971810349. The reversal of 55358971810321 is 12301817985355.

The square root of 55358971810321 is 7440361.

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 12590510952721 + 42768460857600 = 3548311^2 + 6539760^2 .

It is not a de Polignac number, because 55358971810321 - 2²¹ = 55358969713169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55358971810361) 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, 6912091365 + ... + 6912099373.

Almost surely, 2^{55358971810321} is an apocalyptic number.

55358971810321 is the 7440361-st square number.

55358971810321 is the 3720181-st centered octagonal number.

It is an amenable number.

55358971810321 is a deficient number, since it is larger than the sum of its proper divisors (66574403040).

55358971810321 is an frugal number, since it uses more digits than its factorization.

55358971810321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17876 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 58.

The spelling of 55358971810321 in words is "fifty-five trillion, three hundred fifty-eight billion, nine hundred seventy-one million, eight hundred ten thousand, three hundred twenty-one".