13904687752201 has 27 divisors (see below), whose sum is σ = 14834770394997. Its totient is φ = 13030264665600.

The previous prime is 13904687752159. The next prime is 13904687752237. The reversal of 13904687752201 is 10225778640931.

The square root of 13904687752201 is 3728899.

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 9602282550025 + 4302405202176 = 3098755^2 + 2074224^2 .

It is not a de Polignac number, because 13904687752201 - 2¹³ = 13904687744009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13904687752801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25419904210 + ... + 25419904756.

It is a 1-persistent number, because it is pandigital, but 2⋅13904687752201 = 27809375504402 is not.

Almost surely, 2^{13904687752201} is an apocalyptic number.

13904687752201 is the 3728899-th square number.

13904687752201 is the 1864450-th centered octagonal number.

It is an amenable number.

13904687752201 is a deficient number, since it is larger than the sum of its proper divisors (930082642796).

13904687752201 is an frugal number, since it uses more digits than its factorization.

13904687752201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 13904687752201 in words is "thirteen trillion, nine hundred four billion, six hundred eighty-seven million, seven hundred fifty-two thousand, two hundred one".