13630796001 has 9 divisors (see below), whose sum is σ = 19689433491. Its totient is φ = 9086963832.

The previous prime is 13630795991. The next prime is 13630796057. The reversal of 13630796001 is 10069703631.

The square root of 13630796001 is 116751.

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

13630796001 is a `hidden beast` number, since 13 + 6 + 30 + 7 + 9 + 600 + 1 = 666.

13630796001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1503500625 + 12127295376 = 38775^2 + 110124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13630796001 - 2⁷ = 13630795873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13630795001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 330795 + ... + 369711.

Almost surely, 2^13630796001 is an apocalyptic number.

13630796001 is the 116751-st square number.

13630796001 is the 58376-th centered octagonal number.

It is an amenable number.

13630796001 is a deficient number, since it is larger than the sum of its proper divisors (6058637490).

13630796001 is an frugal number, since it uses more digits than its factorization.

13630796001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77840 (or 38920 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Multiplying 13630796001 by its sum of digits (36), we get a square (490708656036 = 700506²).

The spelling of 13630796001 in words is "thirteen billion, six hundred thirty million, seven hundred ninety-six thousand, one".