1009994850225 has 135 divisors (see below), whose sum is σ = 1957754137339. Its totient is φ = 514713117600.

The previous prime is 1009994850203. The next prime is 1009994850307. The reversal of 1009994850225 is 5220584999001.

The square root of 1009994850225 is 1004985.

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

1009994850225 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 99 + 48 + 502 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 363598146081 + 646396704144 = 602991^2 + 803988^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1009994850225 - 2¹⁵ = 1009994817457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1040158990 + ... + 1040159960.

Almost surely, 2^{1009994850225} is an apocalyptic number.

1009994850225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1009994850225 is the 1004985-th square number.

1009994850225 is the 502493-rd centered octagonal number.

It is an amenable number.

1009994850225 is a deficient number, since it is larger than the sum of its proper divisors (947759287114).

1009994850225 is an frugal number, since it uses more digits than its factorization.

1009994850225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1009994850225 in words is "one trillion, nine billion, nine hundred ninety-four million, eight hundred fifty thousand, two hundred twenty-five".