13109105025 has 81 divisors (see below), whose sum is σ = 24997951771. Its totient is φ = 6565601280.

The previous prime is 13109105011. The next prime is 13109105041. The reversal of 13109105025 is 52050190131.

The square root of 13109105025 is 114495.

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 3234310641 + 9874794384 = 56871^2 + 99372^2 .

It is not a de Polignac number, because 13109105025 - 2⁹ = 13109104513 is a prime.

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 13109105025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29196001 + ... + 29196449.

Almost surely, 2^13109105025 is an apocalyptic number.

13109105025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13109105025 is the 114495-th square number.

13109105025 is the 57248-th centered octagonal number.

It is an amenable number.

13109105025 is a deficient number, since it is larger than the sum of its proper divisors (11888846746).

13109105025 is an equidigital number, since it uses as much as digits as its factorization.

13109105025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

Adding to 13109105025 its reverse (52050190131), we get a palindrome (65159295156).

The spelling of 13109105025 in words is "thirteen billion, one hundred nine million, one hundred five thousand, twenty-five".