47225809225 has 45 divisors (see below), whose sum is σ = 68393044967. Its totient is φ = 32346903120.

The previous prime is 47225809171. The next prime is 47225809229. The reversal of 47225809225 is 52290852274.

The square root of 47225809225 is 217315.

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., 17001291321 + 30224517904 = 130389^2 + 173852^2 .

It is not a de Polignac number, because 47225809225 - 2¹⁵ = 47225776457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47225809229) 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, 53241732 + ... + 53242618.

Almost surely, 2^47225809225 is an apocalyptic number.

47225809225 is the 217315-th square number.

47225809225 is the 108658-th centered octagonal number.

It is an amenable number.

47225809225 is a deficient number, since it is larger than the sum of its proper divisors (21167235742).

47225809225 is an frugal number, since it uses more digits than its factorization.

47225809225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 47225809225 in words is "forty-seven billion, two hundred twenty-five million, eight hundred nine thousand, two hundred twenty-five".