833906844225 has 405 divisors, whose sum is σ = 1954495095993. Its totient is φ = 350312376960.

The previous prime is 833906844181. The next prime is 833906844259. The reversal of 833906844225 is 522448609338.

The square root of 833906844225 is 913185.

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

833906844225 is a `hidden beast` number, since 8 + 33 + 90 + 68 + 442 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 214940722689 + 618966121536 = 463617^2 + 786744^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 833906844225 - 2⁷ = 833906844097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3739492464 + ... + 3739492686.

Almost surely, 2^833906844225 is an apocalyptic number.

833906844225 is the 913185-th square number.

833906844225 is the 456593-rd centered octagonal number.

It is an amenable number.

833906844225 is an abundant number, since it is smaller than the sum of its proper divisors (1120588251768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

833906844225 is a wasteful number, since it uses less digits than its factorization.

833906844225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 833906844225 in words is "eight hundred thirty-three billion, nine hundred six million, eight hundred forty-four thousand, two hundred twenty-five".