165057225345 has 24 divisors (see below), whose sum is σ = 286108641000. Its totient is φ = 88027612416.

The previous prime is 165057225343. The next prime is 165057225349. The reversal of 165057225345 is 543522750561.

It is a happy number.

165057225345 is a `hidden beast` number, since 1 + 6 + 50 + 572 + 25 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26780340609 + 138276884736 = 163647^2 + 371856^2 .

It is not a de Polignac number, because 165057225345 - 2¹ = 165057225343 is a prime.

It is a super-2 number, since 2×165057225345² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 165057225345.

It is not an unprimeable number, because it can be changed into a prime (165057225343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2633431 + ... + 2695379.

It is an arithmetic number, because the mean of its divisors is an integer number (11921193375).

Almost surely, 2^165057225345 is an apocalyptic number.

165057225345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165057225345 is a deficient number, since it is larger than the sum of its proper divisors (121051415655).

165057225345 is a wasteful number, since it uses less digits than its factorization.

165057225345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121169 (or 121166 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 165057225345 in words is "one hundred sixty-five billion, fifty-seven million, two hundred twenty-five thousand, three hundred forty-five".