13035168680625 has 675 divisors, whose sum is σ = 30983948590023. Its totient is φ = 5261400144000.

The previous prime is 13035168680603. The next prime is 13035168680647. The reversal of 13035168680625 is 52608686153031.

It is a happy number.

The square root of 13035168680625 is 3610425.

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

13035168680625 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 1 + 6 + 8 + 6 + 8 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (13035168680603) and next prime (13035168680647).

It can be written as a sum of positive squares in 7 ways, for example, as 12875229474849 + 159939205776 = 3588207^2 + 399924^2 .

It is not a de Polignac number, because 13035168680625 - 2⁹ = 13035168680113 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 566746464364 + ... + 566746464386.

Almost surely, 2^{13035168680625} is an apocalyptic number.

13035168680625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13035168680625 is the 3610425-th square number.

13035168680625 is the 1805213-rd centered octagonal number.

It is an amenable number.

13035168680625 is an abundant number, since it is smaller than the sum of its proper divisors (17948779909398).

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

13035168680625 is an frugal number, since it uses more digits than its factorization.

13035168680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13035168680625 in words is "thirteen trillion, thirty-five billion, one hundred sixty-eight million, six hundred eighty thousand, six hundred twenty-five".