165124386025 has 27 divisors (see below), whose sum is σ = 208027382661. Its totient is φ = 130020596640.

The previous prime is 165124386001. The next prime is 165124386029. The reversal of 165124386025 is 520683421561.

The square root of 165124386025 is 406355.

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

165124386025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72435801321 + 92688584704 = 269139^2 + 304448^2 .

It is not a de Polignac number, because 165124386025 - 2⁹ = 165124385513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165124386029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136128319 + ... + 136129531.

Almost surely, 2^165124386025 is an apocalyptic number.

165124386025 is the 406355-th square number.

165124386025 is the 203178-th centered octagonal number.

It is an amenable number.

165124386025 is a deficient number, since it is larger than the sum of its proper divisors (42902996636).

165124386025 is an frugal number, since it uses more digits than its factorization.

165124386025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 165124386025 in words is "one hundred sixty-five billion, one hundred twenty-four million, three hundred eighty-six thousand, twenty-five".