1004835832225 has 9 divisors (see below), whose sum is σ = 1246002646963. Its totient is φ = 803864656120.

The previous prime is 1004835832183. The next prime is 1004835832229. The reversal of 1004835832225 is 5222385384001.

The square root of 1004835832225 is 1002415.

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

It can be written as a sum of positive squares in only one way, i.e., 361740899601 + 643094932624 = 601449^2 + 801932^2 .

It is not a de Polignac number, because 1004835832225 - 2¹⁹ = 1004835307937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004835832229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4911834 + ... + 5112316.

Almost surely, 2^{1004835832225} is an apocalyptic number.

1004835832225 is the 1002415-th square number.

1004835832225 is the 501208-th centered octagonal number.

It is an amenable number.

1004835832225 is a deficient number, since it is larger than the sum of its proper divisors (241166814738).

1004835832225 is an frugal number, since it uses more digits than its factorization.

1004835832225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400976 (or 200488 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 1004835832225 in words is "one trillion, four billion, eight hundred thirty-five million, eight hundred thirty-two thousand, two hundred twenty-five".