65349253225 has 81 divisors (see below), whose sum is σ = 88067514639. Its totient is φ = 48100281600.

The previous prime is 65349253183. The next prime is 65349253243. The reversal of 65349253225 is 52235294356.

The square root of 65349253225 is 255635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 64647639081 + 701614144 = 254259^2 + 26488^2 .

It is not a de Polignac number, because 65349253225 - 2⁷ = 65349253097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1519750054 + ... + 1519750096.

Almost surely, 2^65349253225 is an apocalyptic number.

65349253225 is the 255635-th square number.

65349253225 is the 127818-th centered octagonal number.

It is an amenable number.

65349253225 is a deficient number, since it is larger than the sum of its proper divisors (22718261414).

65349253225 is an equidigital number, since it uses as much as digits as its factorization.

65349253225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 46.

The spelling of 65349253225 in words is "sixty-five billion, three hundred forty-nine million, two hundred fifty-three thousand, two hundred twenty-five".