13305753 has 12 divisors (see below), whose sum is σ = 20055360. Its totient is φ = 8484696.

The previous prime is 13305749. The next prime is 13305779. The reversal of 13305753 is 35750331.

13305753 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 a de Polignac number, because 13305753 - 2² = 13305749 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13305793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31933 + ... + 32346.

It is an arithmetic number, because the mean of its divisors is an integer number (1671280).

Almost surely, 2^13305753 is an apocalyptic number.

It is an amenable number.

13305753 is a deficient number, since it is larger than the sum of its proper divisors (6749607).

13305753 is a wasteful number, since it uses less digits than its factorization.

13305753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64308 (or 64305 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13305753 is about 3647.7051690069. The cubic root of 13305753 is about 236.9626069297.

It can be divided in two parts, 1330575 and 3, that multiplied together give a triangular number (3991725 = T₂₈₂₅).

The spelling of 13305753 in words is "thirteen million, three hundred five thousand, seven hundred fifty-three".