1863265950225 has 243 divisors, whose sum is σ = 3649458836569. Its totient is φ = 908553984000.

The previous prime is 1863265950211. The next prime is 1863265950241. The reversal of 1863265950225 is 5220595623681.

The square root of 1863265950225 is 1365015.

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

1863265950225 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 26 + 595 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 598207886721 + 1265058063504 = 773439^2 + 1124748^2 .

It is not a de Polignac number, because 1863265950225 - 2⁵ = 1863265950193 is a prime.

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 242 ways as a sum of consecutive naturals, for example, 18448177675 + ... + 18448177775.

Almost surely, 2^{1863265950225} is an apocalyptic number.

1863265950225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1863265950225 is the 1365015-th square number.

1863265950225 is the 682508-th centered octagonal number.

It is an amenable number.

1863265950225 is a deficient number, since it is larger than the sum of its proper divisors (1786192886344).

1863265950225 is a wasteful number, since it uses less digits than its factorization.

1863265950225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

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

The spelling of 1863265950225 in words is "one trillion, eight hundred sixty-three billion, two hundred sixty-five million, nine hundred fifty thousand, two hundred twenty-five".