13782638601 has 6 divisors (see below), whose sum is σ = 19908255770. Its totient is φ = 9188425728.

The previous prime is 13782638587. The next prime is 13782638603. The reversal of 13782638601 is 10683628731.

13782638601 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 2 + 6 + 38 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9384959376 + 4397679225 = 96876^2 + 66315^2 .

It is not a de Polignac number, because 13782638601 - 2¹⁰ = 13782637577 is a prime.

It is a super-2 number, since 2×13782638601² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13782638603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 765702136 + ... + 765702153.

Almost surely, 2^13782638601 is an apocalyptic number.

It is an amenable number.

13782638601 is a deficient number, since it is larger than the sum of its proper divisors (6125617169).

13782638601 is a wasteful number, since it uses less digits than its factorization.

13782638601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531404295 (or 1531404292 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13782638601 in words is "thirteen billion, seven hundred eighty-two million, six hundred thirty-eight thousand, six hundred one".