13033540 has 24 divisors (see below), whose sum is σ = 29476440. Its totient is φ = 4812288.

The previous prime is 13033529. The next prime is 13033549. The reversal of 13033540 is 4533031.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 10771524 = 1504^2 + 3282^2 .

It is not an unprimeable number, because it can be changed into a prime (13033549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24805 + ... + 25324.

It is an arithmetic number, because the mean of its divisors is an integer number (1228185).

Almost surely, 2^13033540 is an apocalyptic number.

13033540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033540 is an abundant number, since it is smaller than the sum of its proper divisors (16442900).

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

13033540 is a wasteful number, since it uses less digits than its factorization.

13033540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50151 (or 50149 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 13033540 is about 3610.1994404742. The cubic root of 13033540 is about 235.3355098993.

Adding to 13033540 its reverse (4533031), we get a palindrome (17566571).

It can be divided in two parts, 130 and 33540, that added together give a triangular number (33670 = T₂₅₉).

The spelling of 13033540 in words is "thirteen million, thirty-three thousand, five hundred forty".