13578013 has 2 divisors, whose sum is σ = 13578014. Its totient is φ = 13578012.

The previous prime is 13578007. The next prime is 13578023. The reversal of 13578013 is 31087531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7634169 + 5943844 = 2763^2 + 2438^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13578013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13578023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6789006 + 6789007.

It is an arithmetic number, because the mean of its divisors is an integer number (6789007).

Almost surely, 2^13578013 is an apocalyptic number.

It is an amenable number.

13578013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13578013 is an equidigital number, since it uses as much as digits as its factorization.

13578013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 13578013 is about 3684.8355458555. The cubic root of 13578013 is about 238.5679360869.

It can be divided in two parts, 135 and 78013, that multiplied together give a triangular number (10531755 = T₄₅₈₉).

The spelling of 13578013 in words is "thirteen million, five hundred seventy-eight thousand, thirteen".