1993984047225 has 81 divisors (see below), whose sum is σ = 3734390988237. Its totient is φ = 1016972320320.

The previous prime is 1993984047173. The next prime is 1993984047227. The reversal of 1993984047225 is 5227404893991.

The square root of 1993984047225 is 1412085.

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

1993984047225 is a `hidden beast` number, since 1 + 99 + 39 + 8 + 40 + 472 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101752706169 + 1892231341056 = 318987^2 + 1375584^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1993984047225 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1993984047227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 487167279 + ... + 487171371.

Almost surely, 2^{1993984047225} is an apocalyptic number.

1993984047225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1993984047225 is the 1412085-th square number.

1993984047225 is the 706043-rd centered octagonal number.

It is an amenable number.

1993984047225 is a deficient number, since it is larger than the sum of its proper divisors (1740406941012).

1993984047225 is an frugal number, since it uses more digits than its factorization.

1993984047225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1993984047225 in words is "one trillion, nine hundred ninety-three billion, nine hundred eighty-four million, forty-seven thousand, two hundred twenty-five".