4282188729025 has 9 divisors (see below), whose sum is σ = 5309926853961. Its totient is φ = 3425742705840.

The previous prime is 4282188729023. The next prime is 4282188729041. The reversal of 4282188729025 is 5209278812824.

The square root of 4282188729025 is 2069345.

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 539294890689 + 3742893838336 = 734367^2 + 1934656^2 .

It is not a de Polignac number, because 4282188729025 - 2¹ = 4282188729023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4282188729023) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 10139791 + ... + 10553659.

Almost surely, 2^{4282188729025} is an apocalyptic number.

4282188729025 is the 2069345-th square number.

4282188729025 is the 1034673-rd centered octagonal number.

It is an amenable number.

4282188729025 is a deficient number, since it is larger than the sum of its proper divisors (1027738124936).

4282188729025 is an frugal number, since it uses more digits than its factorization.

4282188729025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827748 (or 413874 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 58.

The spelling of 4282188729025 in words is "four trillion, two hundred eighty-two billion, one hundred eighty-eight million, seven hundred twenty-nine thousand, twenty-five".