55198213249 has 9 divisors (see below), whose sum is σ = 55763768259. Its totient is φ = 54638344080.

The previous prime is 55198213181. The next prime is 55198213253. The reversal of 55198213249 is 94231289155.

The square root of 55198213249 is 234943.

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., 33199390849 + 21998822400 = 182207^2 + 148320^2 .

It is not a de Polignac number, because 55198213249 - 2⁹ = 55198212737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55198213289) 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, 24197989 + ... + 24200269.

It is an arithmetic number, because the mean of its divisors is an integer number (6195974251).

Almost surely, 2^55198213249 is an apocalyptic number.

55198213249 is the 234943-rd square number.

55198213249 is the 117472-nd centered octagonal number.

It is an amenable number.

55198213249 is a deficient number, since it is larger than the sum of its proper divisors (565555010).

55198213249 is an frugal number, since it uses more digits than its factorization.

55198213249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 2384 counting only the distinct ones).

The product of its digits is 777600, while the sum is 49.

Multiplying 55198213249 by its sum of digits (49), we get a square (2704712449201 = 1644601²).

The spelling of 55198213249 in words is "fifty-five billion, one hundred ninety-eight million, two hundred thirteen thousand, two hundred forty-nine".