2005696225 has 45 divisors (see below), whose sum is σ = 2746106573. Its totient is φ = 1453183680.

The previous prime is 2005696223. The next prime is 2005696241. The reversal of 2005696225 is 5226965002.

The square root of 2005696225 is 44785.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1184529889 + 821166336 = 34417^2 + 28656^2 .

It is not a de Polignac number, because 2005696225 - 2¹ = 2005696223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005696223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37843299 + ... + 37843351.

Almost surely, 2^2005696225 is an apocalyptic number.

2005696225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005696225 is the 44785-th square number.

2005696225 is the 22393-rd centered octagonal number.

It is an amenable number.

2005696225 is a deficient number, since it is larger than the sum of its proper divisors (740410348).

2005696225 is an frugal number, since it uses more digits than its factorization.

2005696225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The cubic root of 2005696225 is about 1261.1160484122.

It can be divided in two parts, 20056 and 96225, that added together give a square (116281 = 341²).

The spelling of 2005696225 in words is "two billion, five million, six hundred ninety-six thousand, two hundred twenty-five".