208954123225 has 9 divisors (see below), whose sum is σ = 259105946943. Its totient is φ = 167161470120.

The previous prime is 208954123199. The next prime is 208954123351. The reversal of 208954123225 is 522321459802.

The square root of 208954123225 is 457115.

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

208954123225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 75223484361 + 133730638864 = 274269^2 + 365692^2 .

It is not a de Polignac number, because 208954123225 - 2⁷ = 208954123097 is a prime.

It is a super-2 number, since 2×208954123225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2239864 + ... + 2331286.

Almost surely, 2^208954123225 is an apocalyptic number.

208954123225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208954123225 is the 457115-th square number.

208954123225 is the 228558-th centered octagonal number.

It is an amenable number.

208954123225 is a deficient number, since it is larger than the sum of its proper divisors (50151823718).

208954123225 is an frugal number, since it uses more digits than its factorization.

208954123225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182856 (or 91428 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 208954123225 in words is "two hundred eight billion, nine hundred fifty-four million, one hundred twenty-three thousand, two hundred twenty-five".