3506125176225 has 243 divisors, whose sum is σ = 7767539292747. Its totient is φ = 1507079669760.

The previous prime is 3506125176217. The next prime is 3506125176299. The reversal of 3506125176225 is 5226715216053.

It is a happy number.

The square root of 3506125176225 is 1872465.

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

3506125176225 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 1 + 2 + 5 + 17 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 85119813009 + 3421005363216 = 291753^2 + 1849596^2 .

It is not a de Polignac number, because 3506125176225 - 2³ = 3506125176217 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3342349501 + ... + 3342350549.

Almost surely, 2^{3506125176225} is an apocalyptic number.

3506125176225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3506125176225 is the 1872465-th square number.

3506125176225 is the 936233-rd centered octagonal number.

It is an amenable number.

3506125176225 is an abundant number, since it is smaller than the sum of its proper divisors (4261414116522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3506125176225 is a wasteful number, since it uses less digits than its factorization.

3506125176225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 3506125176225 in words is "three trillion, five hundred six billion, one hundred twenty-five million, one hundred seventy-six thousand, two hundred twenty-five".