13075781442025 has 9 divisors (see below), whose sum is σ = 16213991407621. Its totient is φ = 10460610689440.

The previous prime is 13075781441993. The next prime is 13075781442049. The reversal of 13075781442025 is 52024418757031.

It is a happy number.

The square root of 13075781442025 is 3616045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9898857049 + 13065882584976 = 99493^2 + 3614676^2 .

It is not a de Polignac number, because 13075781442025 - 2⁵ = 13075781441993 is a prime.

It is a super-2 number, since 2×13075781442025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13075781442025.

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, 17718621 + ... + 18441829.

Almost surely, 2^{13075781442025} is an apocalyptic number.

13075781442025 is the 3616045-th square number.

13075781442025 is the 1808023-rd centered octagonal number.

It is an amenable number.

13075781442025 is a deficient number, since it is larger than the sum of its proper divisors (3138209965596).

13075781442025 is an frugal number, since it uses more digits than its factorization.

13075781442025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446428 (or 723214 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

Multiplying 13075781442025 by its sum of digits (49), we get a square (640713290659225 = 25312315²).

The spelling of 13075781442025 in words is "thirteen trillion, seventy-five billion, seven hundred eighty-one million, four hundred forty-two thousand, twenty-five".