13000025766 has 128 divisors (see below), whose sum is σ = 34033499136. Its totient is φ = 3212513280.

The previous prime is 13000025761. The next prime is 13000025767. The reversal of 13000025766 is 66752000031.

13000025766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000025761) 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 63 ways as a sum of consecutive naturals, for example, 2159701 + ... + 2165711.

It is an arithmetic number, because the mean of its divisors is an integer number (265886712).

Almost surely, 2^13000025766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000025766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016749568).

13000025766 is an abundant number, since it is smaller than the sum of its proper divisors (21033473370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13000025766 is a wasteful number, since it uses less digits than its factorization.

13000025766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286.

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 13000025766 its reverse (66752000031), we get a palindrome (79752025797).

The spelling of 13000025766 in words is "thirteen billion, twenty-five thousand, seven hundred sixty-six".