1002271288225 has 9 divisors (see below), whose sum is σ = 1242822604467. Its totient is φ = 801813026040.

The previous prime is 1002271288211. The next prime is 1002271288241. The reversal of 1002271288225 is 5228821722001.

The square root of 1002271288225 is 1001135.

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., 360817663761 + 641453624464 = 600681^2 + 800908^2 .

It is not a de Polignac number, because 1002271288225 - 2⁹ = 1002271287713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4905562 + ... + 5105788.

Almost surely, 2^{1002271288225} is an apocalyptic number.

1002271288225 is the 1001135-th square number.

1002271288225 is the 500568-th centered octagonal number.

It is an amenable number.

1002271288225 is a deficient number, since it is larger than the sum of its proper divisors (240551316242).

1002271288225 is an frugal number, since it uses more digits than its factorization.

1002271288225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400464 (or 200232 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

It can be divided in two parts, 1002271 and 288225, that added together give a square (1290496 = 1136²).

The spelling of 1002271288225 in words is "one trillion, two billion, two hundred seventy-one million, two hundred eighty-eight thousand, two hundred twenty-five".