165116259025 has 27 divisors (see below), whose sum is σ = 206341148883. Its totient is φ = 131070643200.

The previous prime is 165116258977. The next prime is 165116259031. The reversal of 165116259025 is 520952611561.

It is a happy number.

The square root of 165116259025 is 406345.

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 164181367249 + 934891776 = 405193^2 + 30576^2 .

It is not a de Polignac number, because 165116259025 - 2¹³ = 165116250833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 367742001 + ... + 367742449.

Almost surely, 2^165116259025 is an apocalyptic number.

165116259025 is the 406345-th square number.

165116259025 is the 203173-rd centered octagonal number.

It is an amenable number.

165116259025 is a deficient number, since it is larger than the sum of its proper divisors (41224889858).

165116259025 is an frugal number, since it uses more digits than its factorization.

165116259025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 165116259025 in words is "one hundred sixty-five billion, one hundred sixteen million, two hundred fifty-nine thousand, twenty-five".