65017350225 has 81 divisors (see below), whose sum is σ = 118396323409. Its totient is φ = 34106793600.

The previous prime is 65017350173. The next prime is 65017350239. The reversal of 65017350225 is 52205371056.

The square root of 65017350225 is 254985.

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

65017350225 is a `hidden beast` number, since 65 + 0 + 1 + 73 + 502 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13530109761 + 51487240464 = 116319^2 + 226908^2 .

It is not a de Polignac number, because 65017350225 - 2¹¹ = 65017348177 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 65017350225.

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, 340404880 + ... + 340405070.

Almost surely, 2^65017350225 is an apocalyptic number.

65017350225 is the 254985-th square number.

65017350225 is the 127493-rd centered octagonal number.

It is an amenable number.

65017350225 is a deficient number, since it is larger than the sum of its proper divisors (53378973184).

65017350225 is an equidigital number, since it uses as much as digits as its factorization.

65017350225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Multiplying 65017350225 by its sum of digits (36), we get a square (2340624608100 = 1529910²).

The spelling of 65017350225 in words is "sixty-five billion, seventeen million, three hundred fifty thousand, two hundred twenty-five".