415164565225 has 24 divisors (see below), whose sum is σ = 535960479320. Its totient is φ = 318728286720.

The previous prime is 415164565223. The next prime is 415164565259. The reversal of 415164565225 is 522565461514.

It can be written as a sum of positive squares in 12 ways, for example, as 62798856409 + 352365708816 = 250597^2 + 593604^2 .

It is not a de Polignac number, because 415164565225 - 2¹ = 415164565223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415164565223) 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 23 ways as a sum of consecutive naturals, for example, 3006630 + ... + 3141679.

Almost surely, 2^415164565225 is an apocalyptic number.

It is an amenable number.

415164565225 is a deficient number, since it is larger than the sum of its proper divisors (120795914095).

415164565225 is a wasteful number, since it uses less digits than its factorization.

415164565225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148429 (or 6148424 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 46.

The spelling of 415164565225 in words is "four hundred fifteen billion, one hundred sixty-four million, five hundred sixty-five thousand, two hundred twenty-five".