1303253315325 has 144 divisors (see below), whose sum is σ = 2662840973520. Its totient is φ = 603602288640.

The previous prime is 1303253315323. The next prime is 1303253315341. The reversal of 1303253315325 is 5235133523031.

It is a happy number.

1303253315325 is a `hidden beast` number, since 1 + 3 + 0 + 325 + 3 + 3 + 1 + 5 + 325 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1232273166084 + 70980149241 = 1110078^2 + 266421^2 .

It is not a de Polignac number, because 1303253315325 - 2¹ = 1303253315323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1303253315325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303253315323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165530589 + ... + 165538461.

It is an arithmetic number, because the mean of its divisors is an integer number (18491951205).

Almost surely, 2^{1303253315325} is an apocalyptic number.

1303253315325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1303253315325 is an abundant number, since it is smaller than the sum of its proper divisors (1359587658195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1303253315325 is a wasteful number, since it uses less digits than its factorization.

1303253315325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11248 (or 11240 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 1303253315325 its reverse (5235133523031), we get a palindrome (6538386838356).

The spelling of 1303253315325 in words is "one trillion, three hundred three billion, two hundred fifty-three million, three hundred fifteen thousand, three hundred twenty-five".