13825782657 has 12 divisors (see below), whose sum is σ = 20054136960. Its totient is φ = 9178621368.

The previous prime is 13825782629. The next prime is 13825782671. The reversal of 13825782657 is 75628752831.

13825782657 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 578 + 2 + 65 + 7 = 666.

It is not a de Polignac number, because 13825782657 - 2²⁰ = 13824734081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13825782617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3211653 + ... + 3215954.

It is an arithmetic number, because the mean of its divisors is an integer number (1671178080).

Almost surely, 2^13825782657 is an apocalyptic number.

It is an amenable number.

13825782657 is a deficient number, since it is larger than the sum of its proper divisors (6228354303).

13825782657 is a wasteful number, since it uses less digits than its factorization.

13825782657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427852 (or 6427849 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 13825782657 in words is "thirteen billion, eight hundred twenty-five million, seven hundred eighty-two thousand, six hundred fifty-seven".