165929949025 has 27 divisors (see below), whose sum is σ = 207210502219. Its totient is φ = 131810324480.

The previous prime is 165929949013. The next prime is 165929949067. The reversal of 165929949025 is 520949929561.

The square root of 165929949025 is 407345.

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 87588178209 + 78341770816 = 295953^2 + 279896^2 .

It is not a de Polignac number, because 165929949025 - 2³⁷ = 28490995553 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, 523438167 + ... + 523438483.

Almost surely, 2^165929949025 is an apocalyptic number.

165929949025 is the 407345-th square number.

165929949025 is the 203673-rd centered octagonal number.

It is an amenable number.

165929949025 is a deficient number, since it is larger than the sum of its proper divisors (41280553194).

165929949025 is an frugal number, since it uses more digits than its factorization.

165929949025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 61.

The spelling of 165929949025 in words is "one hundred sixty-five billion, nine hundred twenty-nine million, nine hundred forty-nine thousand, twenty-five".