1809926262225 has 27 divisors (see below), whose sum is σ = 3241815183633. Its totient is φ = 965283243840.

The previous prime is 1809926262217. The next prime is 1809926262241. The reversal of 1809926262225 is 5222626299081.

The square root of 1809926262225 is 1345335.

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

1809926262225 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 9 + 2 + 6 + 2 + 622 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 653773761 + 1809272488464 = 25569^2 + 1345092^2 .

It is not a de Polignac number, because 1809926262225 - 2³ = 1809926262217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20135181 + ... + 20224869.

Almost surely, 2^{1809926262225} is an apocalyptic number.

1809926262225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1809926262225 is the 1345335-th square number.

1809926262225 is the 672668-th centered octagonal number.

It is an amenable number.

1809926262225 is a deficient number, since it is larger than the sum of its proper divisors (1431888921408).

1809926262225 is an frugal number, since it uses more digits than its factorization.

1809926262225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179394 (or 89697 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1809926262225 in words is "one trillion, eight hundred nine billion, nine hundred twenty-six million, two hundred sixty-two thousand, two hundred twenty-five".