64561225 has 9 divisors (see below), whose sum is σ = 80105767. Its totient is φ = 51616840.

The previous prime is 64561213. The next prime is 64561303. The reversal of 64561225 is 52216546.

The square root of 64561225 is 8035.

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., 23242041 + 41319184 = 4821^2 + 6428^2 .

It is not a de Polignac number, because 64561225 - 2⁵ = 64561193 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39372 + ... + 40978.

Almost surely, 2^64561225 is an apocalyptic number.

64561225 is the 8035-th square number.

64561225 is the 4018-th centered octagonal number.

It is an amenable number.

64561225 is a deficient number, since it is larger than the sum of its proper divisors (15544542).

64561225 is an frugal number, since it uses more digits than its factorization.

64561225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 1612 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The cubic root of 64561225 is about 401.1658176221.

Multiplying 64561225 by its product of digits (14400), we get a square (929681640000 = 964200²).

The spelling of 64561225 in words is "sixty-four million, five hundred sixty-one thousand, two hundred twenty-five".