4143117766225 has 27 divisors (see below), whose sum is σ = 5236910082579. Its totient is φ = 3251533209600.

The previous prime is 4143117766171. The next prime is 4143117766279. The reversal of 4143117766225 is 5226677113414.

The square root of 4143117766225 is 2035465.

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

It is an interprime number because it is at equal distance from previous prime (4143117766171) and next prime (4143117766279).

It can be written as a sum of positive squares in 13 ways, for example, as 923303826769 + 3219813939456 = 960887^2 + 1794384^2 .

It is not a de Polignac number, because 4143117766225 - 2²¹ = 4143115669073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 539394385 + ... + 539402065.

Almost surely, 2^{4143117766225} is an apocalyptic number.

4143117766225 is the 2035465-th square number.

4143117766225 is the 1017733-rd centered octagonal number.

It is an amenable number.

4143117766225 is a deficient number, since it is larger than the sum of its proper divisors (1093792316354).

4143117766225 is an frugal number, since it uses more digits than its factorization.

4143117766225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478 (or 7739 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

Multiplying 4143117766225 by its sum of digits (49), we get a square (203012770545025 = 14248255²).

The spelling of 4143117766225 in words is "four trillion, one hundred forty-three billion, one hundred seventeen million, seven hundred sixty-six thousand, two hundred twenty-five".