13505953 has 4 divisors (see below), whose sum is σ = 13518468. Its totient is φ = 13493440.

The previous prime is 13505923. The next prime is 13505983. The reversal of 13505953 is 35950531.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 35950531 = 3631 ⋅9901.

It is an interprime number because it is at equal distance from previous prime (13505923) and next prime (13505983).

It can be written as a sum of positive squares in 2 ways, for example, as 3564544 + 9941409 = 1888^2 + 3153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13505953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13505923) by changing a digit.

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, 4468 + ... + 6853.

It is an arithmetic number, because the mean of its divisors is an integer number (3379617).

Almost surely, 2^13505953 is an apocalyptic number.

It is an amenable number.

13505953 is a deficient number, since it is larger than the sum of its proper divisors (12515).

13505953 is a wasteful number, since it uses less digits than its factorization.

13505953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514.

The product of its (nonzero) digits is 10125, while the sum is 31.

The square root of 13505953 is about 3675.0446255794. The cubic root of 13505953 is about 238.1451519056.

The spelling of 13505953 in words is "thirteen million, five hundred five thousand, nine hundred fifty-three".