4531001818225 has 45 divisors (see below), whose sum is σ = 5818858514315. Its totient is φ = 3499953927600.

The previous prime is 4531001818183. The next prime is 4531001818243. The reversal of 4531001818225 is 5228181001354.

The square root of 4531001818225 is 2128615.

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

It can be written as a sum of positive squares in only one way, i.e., 1631160654561 + 2899841163664 = 1277169^2 + 1702892^2 .

It is not a de Polignac number, because 4531001818225 - 2¹¹ = 4531001816177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10227994854 + ... + 10227995296.

Almost surely, 2^{4531001818225} is an apocalyptic number.

4531001818225 is the 2128615-th square number.

4531001818225 is the 1064308-th centered octagonal number.

It is an amenable number.

4531001818225 is a deficient number, since it is larger than the sum of its proper divisors (1287856696090).

4531001818225 is an frugal number, since it uses more digits than its factorization.

4531001818225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

Adding to 4531001818225 its reverse (5228181001354), we get a palindrome (9759182819579).

The spelling of 4531001818225 in words is "four trillion, five hundred thirty-one billion, one million, eight hundred eighteen thousand, two hundred twenty-five".