13825782047 has 16 divisors (see below), whose sum is σ = 17306037504. Its totient is φ = 10730400000.

The previous prime is 13825782037. The next prime is 13825782059. The reversal of 13825782047 is 74028752831.

It is a cyclic number.

It is not a de Polignac number, because 13825782047 - 2¹⁰ = 13825781023 is a prime.

It is a super-2 number, since 2×13825782047² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13825781992 and 13825782010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13825782007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338354 + ... + 377007.

It is an arithmetic number, because the mean of its divisors is an integer number (1081627344).

Almost surely, 2^13825782047 is an apocalyptic number.

13825782047 is a deficient number, since it is larger than the sum of its proper divisors (3480255457).

13825782047 is a wasteful number, since it uses less digits than its factorization.

13825782047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715630.

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 13825782047 in words is "thirteen billion, eight hundred twenty-five million, seven hundred eighty-two thousand, forty-seven".