4105605625 has 45 divisors (see below), whose sum is σ = 5663467579. Its totient is φ = 2973080000.

The previous prime is 4105605619. The next prime is 4105605659. The reversal of 4105605625 is 5265065014.

The square root of 4105605625 is 64075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3968622009 + 136983616 = 62997^2 + 11704^2 .

It is not a de Polignac number, because 4105605625 - 2²³ = 4097217017 is a prime.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 17620509 + ... + 17620741.

Almost surely, 2^4105605625 is an apocalyptic number.

4105605625 is the 64075-th square number.

4105605625 is the 32038-th centered octagonal number.

It is an amenable number.

4105605625 is a deficient number, since it is larger than the sum of its proper divisors (1557861954).

4105605625 is an frugal number, since it uses more digits than its factorization.

4105605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The cubic root of 4105605625 is about 1601.2497559864.

The spelling of 4105605625 in words is "four billion, one hundred five million, six hundred five thousand, six hundred twenty-five".