2182075524225 has 27 divisors (see below), whose sum is σ = 3908379404163. Its totient is φ = 1163761795440.

The previous prime is 2182075524157. The next prime is 2182075524241. The reversal of 2182075524225 is 5224255702812.

The square root of 2182075524225 is 1477185.

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

2182075524225 is a `hidden beast` number, since 2 + 18 + 20 + 7 + 552 + 42 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 785547188721 + 1396528335504 = 886311^2 + 1181748^2 .

It is not a de Polignac number, because 2182075524225 - 2¹⁵ = 2182075491457 is a prime.

It is a super-2 number, since 2×2182075524225² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

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 26 ways as a sum of consecutive naturals, for example, 22108536 + ... + 22207014.

Almost surely, 2^{2182075524225} is an apocalyptic number.

2182075524225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2182075524225 is the 1477185-th square number.

2182075524225 is the 738593-rd centered octagonal number.

It is an amenable number.

2182075524225 is a deficient number, since it is larger than the sum of its proper divisors (1726303879938).

2182075524225 is an frugal number, since it uses more digits than its factorization.

2182075524225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196974 (or 98487 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 2182075524225 in words is "two trillion, one hundred eighty-two billion, seventy-five million, five hundred twenty-four thousand, two hundred twenty-five".