13609790831025 has 81 divisors (see below), whose sum is σ = 25315704047361. Its totient is φ = 7257758254560.

The previous prime is 13609790831023. The next prime is 13609790831041. The reversal of 13609790831025 is 52013809790631.

The square root of 13609790831025 is 3689145.

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

13609790831025 is a `hidden beast` number, since 1 + 3 + 609 + 7 + 9 + 0 + 8 + 3 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4147670315889 + 9462120515136 = 2036583^2 + 3076056^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 13609790831025 - 2¹ = 13609790831023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13609790831023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1494099171 + ... + 1494108279.

Almost surely, 2^{13609790831025} is an apocalyptic number.

13609790831025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13609790831025 is the 3689145-th square number.

13609790831025 is the 1844573-rd centered octagonal number.

It is an amenable number.

13609790831025 is a deficient number, since it is larger than the sum of its proper divisors (11705913216336).

13609790831025 is an frugal number, since it uses more digits than its factorization.

13609790831025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18252 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 13609790831025 in words is "thirteen trillion, six hundred nine billion, seven hundred ninety million, eight hundred thirty-one thousand, twenty-five".