13513513 has 8 divisors (see below), whose sum is σ = 14792456. Its totient is φ = 12268800.

The previous prime is 13513499. The next prime is 13513517. The reversal of 13513513 is 31531531.

13513513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 13271449 = 492^2 + 3643^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13513513 - 2¹³ = 13505321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13513517) 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, 7728 + ... + 9313.

It is an arithmetic number, because the mean of its divisors is an integer number (1849057).

Almost surely, 2^13513513 is an apocalyptic number.

13513513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13513513 is a deficient number, since it is larger than the sum of its proper divisors (1278943).

13513513 is a wasteful number, since it uses less digits than its factorization.

13513513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17115.

The product of its digits is 675, while the sum is 22.

The square root of 13513513 is about 3676.0730406236. The cubic root of 13513513 is about 238.1895777853.

The spelling of 13513513 in words is "thirteen million, five hundred thirteen thousand, five hundred thirteen".