2805291225 has 135 divisors (see below), whose sum is σ = 5765590831. Its totient is φ = 1347429600.

The previous prime is 2805291179. The next prime is 2805291239. The reversal of 2805291225 is 5221925082.

The square root of 2805291225 is 52965.

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

2805291225 is a `hidden beast` number, since 2 + 8 + 0 + 529 + 122 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1009904841 + 1795386384 = 31779^2 + 42372^2 .

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

It is not a de Polignac number, because 2805291225 - 2⁹ = 2805290713 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2805291225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26217622 + ... + 26217728.

Almost surely, 2^2805291225 is an apocalyptic number.

2805291225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2805291225 is the 52965-th square number.

2805291225 is the 26483-rd centered octagonal number.

It is an amenable number.

2805291225 is an abundant number, since it is smaller than the sum of its proper divisors (2960299606).

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

2805291225 is a wasteful number, since it uses less digits than its factorization.

2805291225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 2805291225 is about 1410.3470173494.

Multiplying 2805291225 by its sum of digits (36), we get a square (100990484100 = 317790²).

The spelling of 2805291225 in words is "two billion, eight hundred five million, two hundred ninety-one thousand, two hundred twenty-five".