13005750 has 32 divisors (see below), whose sum is σ = 32464224. Its totient is φ = 3468000.

The previous prime is 13005739. The next prime is 13005757. The reversal of 13005750 is 5750031.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7921 + ... + 9420.

It is an arithmetic number, because the mean of its divisors is an integer number (1014507).

Almost surely, 2^13005750 is an apocalyptic number.

13005750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005750 is an abundant number, since it is smaller than the sum of its proper divisors (19458474).

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

13005750 is a wasteful number, since it uses less digits than its factorization.

13005750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 13005750 is about 3606.3485688436. The cubic root of 13005750 is about 235.1681307761.

Adding to 13005750 its reverse (5750031), we get a palindrome (18755781).

The spelling of 13005750 in words is "thirteen million, five thousand, seven hundred fifty".