1206559449225 has 243 divisors, whose sum is σ = 2414221378101. Its totient is φ = 575755689600.

The previous prime is 1206559449211. The next prime is 1206559449239. The reversal of 1206559449225 is 5229449556021.

The square root of 1206559449225 is 1098435.

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

1206559449225 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 5 + 594 + 49 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1206559449211) and next prime (1206559449239).

It can be written as a sum of positive squares in 4 ways, for example, as 310992482889 + 895566966336 = 557667^2 + 946344^2 .

It is not a de Polignac number, because 1206559449225 - 2¹⁹ = 1206558924937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9210377410 + ... + 9210377540.

Almost surely, 2^{1206559449225} is an apocalyptic number.

1206559449225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1206559449225 is the 1098435-th square number.

1206559449225 is the 549218-th centered octagonal number.

It is an amenable number.

1206559449225 is an abundant number, since it is smaller than the sum of its proper divisors (1207661928876).

1206559449225 is a wasteful number, since it uses less digits than its factorization.

1206559449225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 1206559449225 in words is "one trillion, two hundred six billion, five hundred fifty-nine million, four hundred forty-nine thousand, two hundred twenty-five".