12579254567 has 16 divisors (see below), whose sum is σ = 14884448544. Its totient is φ = 10500480000.

The previous prime is 12579254549. The next prime is 12579254579. The reversal of 12579254567 is 76545297521.

12579254567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12579254567 - 2⁶ = 12579254503 is a prime.

It is a super-2 number, since 2×12579254567² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12579254167) 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 15 ways as a sum of consecutive naturals, for example, 812684 + ... + 828017.

It is an arithmetic number, because the mean of its divisors is an integer number (930278034).

Almost surely, 2^12579254567 is an apocalyptic number.

12579254567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12579254567 is a deficient number, since it is larger than the sum of its proper divisors (2305193977).

12579254567 is a wasteful number, since it uses less digits than its factorization.

12579254567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640770.

The product of its digits is 5292000, while the sum is 53.

The spelling of 12579254567 in words is "twelve billion, five hundred seventy-nine million, two hundred fifty-four thousand, five hundred sixty-seven".