4186259221225 has 27 divisors (see below), whose sum is σ = 5514503004421. Its totient is φ = 3151875996800.

The previous prime is 4186259221169. The next prime is 4186259221229. The reversal of 4186259221225 is 5221229526814.

The square root of 4186259221225 is 2046035.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97920803929 + 4088338417296 = 312923^2 + 2021964^2 .

It is not a de Polignac number, because 4186259221225 - 2⁷ = 4186259221097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4186259221229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173900940 + ... + 173925010.

Almost surely, 2^{4186259221225} is an apocalyptic number.

4186259221225 is the 2046035-th square number.

4186259221225 is the 1023018-th centered octagonal number.

It is an amenable number.

4186259221225 is a deficient number, since it is larger than the sum of its proper divisors (1328243783196).

4186259221225 is an frugal number, since it uses more digits than its factorization.

4186259221225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48186 (or 24093 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

Multiplying 4186259221225 by its sum of digits (49), we get a square (205126701840025 = 14322245²).

The spelling of 4186259221225 in words is "four trillion, one hundred eighty-six billion, two hundred fifty-nine million, two hundred twenty-one thousand, two hundred twenty-five".