13753008 has 30 divisors (see below), whose sum is σ = 38489724. Its totient is φ = 4584288.

The previous prime is 13753001. The next prime is 13753009. The reversal of 13753008 is 80035731.

13753008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13753001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47610 + ... + 47897.

Almost surely, 2^13753008 is an apocalyptic number.

13753008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13753008 is an abundant number, since it is smaller than the sum of its proper divisors (24736716).

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

13753008 is a wasteful number, since it uses less digits than its factorization.

13753008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95521 (or 95512 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13753008 is about 3708.5048200050. The cubic root of 13753008 is about 239.5884613866.

Adding to 13753008 its reverse (80035731), we get a palindrome (93788739).

The spelling of 13753008 in words is "thirteen million, seven hundred fifty-three thousand, eight".