1002131134225 has 27 divisors (see below), whose sum is σ = 1345670789619. Its totient is φ = 739987248000.

The previous prime is 1002131134223. The next prime is 1002131134229. The reversal of 1002131134225 is 5224311312001.

The square root of 1002131134225 is 1001065.

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 331802496529 + 670328637696 = 576023^2 + 818736^2 .

It is not a de Polignac number, because 1002131134225 - 2¹ = 1002131134223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 1002131134225.

It is not an unprimeable number, because it can be changed into a prime (1002131134223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65061525 + ... + 65076925.

Almost surely, 2^{1002131134225} is an apocalyptic number.

1002131134225 is the 1001065-th square number.

1002131134225 is the 500533-rd centered octagonal number.

It is an amenable number.

1002131134225 is a deficient number, since it is larger than the sum of its proper divisors (343539655394).

1002131134225 is an frugal number, since it uses more digits than its factorization.

1002131134225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30838 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 1002131134225 by its sum of digits (25), we get a square (25053278355625 = 5005325²).

1002131134225 divided by its sum of digits (25) gives a square (40085245369 = 200213²).

Adding to 1002131134225 its reverse (5224311312001), we get a palindrome (6226442446226).

It can be divided in two parts, 1002131 and 134225, that added together give a square (1136356 = 1066²).

The spelling of 1002131134225 in words is "one trillion, two billion, one hundred thirty-one million, one hundred thirty-four thousand, two hundred twenty-five".