4272583225 has 27 divisors (see below), whose sum is σ = 5635310727. Its totient is φ = 3212820480.

The previous prime is 4272583213. The next prime is 4272583229. The reversal of 4272583225 is 5223852724.

The square root of 4272583225 is 65365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1948957609 + 2323625616 = 44147^2 + 48204^2 .

It is not a de Polignac number, because 4272583225 - 2⁵ = 4272583193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4272583229) 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 26 ways as a sum of consecutive naturals, for example, 5555641 + ... + 5556409.

Almost surely, 2^4272583225 is an apocalyptic number.

4272583225 is the 65365-th square number.

4272583225 is the 32683-rd centered octagonal number.

It is an amenable number.

4272583225 is a deficient number, since it is larger than the sum of its proper divisors (1362727502).

4272583225 is an frugal number, since it uses more digits than its factorization.

4272583225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 791 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The cubic root of 4272583225 is about 1622.6698880278.

The spelling of 4272583225 in words is "four billion, two hundred seventy-two million, five hundred eighty-three thousand, two hundred twenty-five".