1819086100225 has 27 divisors (see below), whose sum is σ = 2277848330121. Its totient is φ = 1441096372800.

The previous prime is 1819086100201. The next prime is 1819086100261. The reversal of 1819086100225 is 5220016809181.

The square root of 1819086100225 is 1348735.

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 1114648181361 + 704437918864 = 1055769^2 + 839308^2 .

It is not a de Polignac number, because 1819086100225 - 2⁵ = 1819086100193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 721571965 + ... + 721574485.

Almost surely, 2^{1819086100225} is an apocalyptic number.

1819086100225 is the 1348735-th square number.

1819086100225 is the 674368-th centered octagonal number.

It is an amenable number.

1819086100225 is a deficient number, since it is larger than the sum of its proper divisors (458762229896).

1819086100225 is an frugal number, since it uses more digits than its factorization.

1819086100225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 1819086100225 in words is "one trillion, eight hundred nineteen billion, eighty-six million, one hundred thousand, two hundred twenty-five".