13000576 has 32 divisors (see below), whose sum is σ = 26462880. Its totient is φ = 6359040.

The previous prime is 13000553. The next prime is 13000583. The reversal of 13000576 is 67500031.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4936 + ... + 7096.

It is an arithmetic number, because the mean of its divisors is an integer number (826965).

Almost surely, 2^13000576 is an apocalyptic number.

13000576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231440).

13000576 is an abundant number, since it is smaller than the sum of its proper divisors (13462304).

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

13000576 is an equidigital number, since it uses as much as digits as its factorization.

13000576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13000576 is about 3605.6311514075. The cubic root of 13000576 is about 235.1369414612.

The spelling of 13000576 in words is "thirteen million, five hundred seventy-six", and thus it is an aban number.