165514717225 has 81 divisors (see below), whose sum is σ = 244710658479. Its totient is φ = 110919494400.

The previous prime is 165514717223. The next prime is 165514717231. The reversal of 165514717225 is 522717415561.

It is a happy number.

The square root of 165514717225 is 406835.

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 163355813929 + 2158903296 = 404173^2 + 46464^2 .

It is not a de Polignac number, because 165514717225 - 2¹ = 165514717223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165514717223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 290886741 + ... + 290887309.

Almost surely, 2^165514717225 is an apocalyptic number.

165514717225 is the 406835-th square number.

165514717225 is the 203418-th centered octagonal number.

It is an amenable number.

165514717225 is a deficient number, since it is larger than the sum of its proper divisors (79195941254).

165514717225 is an equidigital number, since it uses as much as digits as its factorization.

165514717225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 598 counting only the distinct ones).

The product of its digits is 588000, while the sum is 46.

The spelling of 165514717225 in words is "one hundred sixty-five billion, five hundred fourteen million, seven hundred seventeen thousand, two hundred twenty-five".