1302394500625 has 45 divisors (see below), whose sum is σ = 1642911563293. Its totient is φ = 1032123890000.

The previous prime is 1302394500611. The next prime is 1302394500629. The reversal of 1302394500625 is 5260054932031.

The square root of 1302394500625 is 1141225.

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

It can be written as a sum of positive squares in 2 ways, for example, as 102107728849 + 1200286771776 = 319543^2 + 1095576^2 .

It is not a de Polignac number, because 1302394500625 - 2¹³ = 1302394492433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1302394500629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5449349256 + ... + 5449349494.

Almost surely, 2^{1302394500625} is an apocalyptic number.

1302394500625 is the 1141225-th square number.

1302394500625 is the 570613-rd centered octagonal number.

It is an amenable number.

1302394500625 is a deficient number, since it is larger than the sum of its proper divisors (340517062668).

1302394500625 is an frugal number, since it uses more digits than its factorization.

1302394500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 1302394500625 in words is "one trillion, three hundred two billion, three hundred ninety-four million, five hundred thousand, six hundred twenty-five".