13125144627 has 96 divisors (see below), whose sum is σ = 23527355904. Its totient is φ = 6880896000.

The previous prime is 13125144607. The next prime is 13125144629. The reversal of 13125144627 is 72644152131.

13125144627 is a `hidden beast` number, since 1 + 3 + 1 + 25 + 1 + 4 + 4 + 627 = 666.

It is not a de Polignac number, because 13125144627 - 2⁸ = 13125144371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13125144591 and 13125144600.

It is not an unprimeable number, because it can be changed into a prime (13125144629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7246552 + ... + 7248362.

It is an arithmetic number, because the mean of its divisors is an integer number (245076624).

Almost surely, 2^13125144627 is an apocalyptic number.

13125144627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13125144627 is a deficient number, since it is larger than the sum of its proper divisors (10402211277).

13125144627 is a wasteful number, since it uses less digits than its factorization.

13125144627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2006 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Adding to 13125144627 its reverse (72644152131), we get a palindrome (85769296758).

The spelling of 13125144627 in words is "thirteen billion, one hundred twenty-five million, one hundred forty-four thousand, six hundred twenty-seven".