4173665132025 has 189 divisors, whose sum is σ = 7994396933271. Its totient is φ = 2160498458880.

The previous prime is 4173665132003. The next prime is 4173665132047. The reversal of 4173665132025 is 5202315663714.

The square root of 4173665132025 is 2042955.

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

4173665132025 is a `hidden beast` number, since 4 + 1 + 73 + 66 + 513 + 2 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4173665132003) and next prime (4173665132047).

It can be written as a sum of positive squares in 13 ways, for example, as 992817081 + 4172672314944 = 31509^2 + 2042712^2 .

It is not a de Polignac number, because 4173665132025 - 2⁹ = 4173665131513 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 188 ways as a sum of consecutive naturals, for example, 10204560021 + ... + 10204560429.

Almost surely, 2^{4173665132025} is an apocalyptic number.

4173665132025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4173665132025 is the 2042955-th square number.

4173665132025 is the 1021478-th centered octagonal number.

It is an amenable number.

4173665132025 is a deficient number, since it is larger than the sum of its proper divisors (3820731801246).

4173665132025 is an frugal number, since it uses more digits than its factorization.

4173665132025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 4173665132025 in words is "four trillion, one hundred seventy-three billion, six hundred sixty-five million, one hundred thirty-two thousand, twenty-five".