13577513 has 2 divisors, whose sum is σ = 13577514. Its totient is φ = 13577512.

The previous prime is 13577497. The next prime is 13577527. The reversal of 13577513 is 31577531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7441984 + 6135529 = 2728^2 + 2477^2 .

It is an emirp because it is prime and its reverse (31577531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13577513 - 2⁴ = 13577497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13577513.

It is not a weakly prime, because it can be changed into another prime (13577413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6788756 + 6788757.

It is an arithmetic number, because the mean of its divisors is an integer number (6788757).

Almost surely, 2^13577513 is an apocalyptic number.

It is an amenable number.

13577513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13577513 is an equidigital number, since it uses as much as digits as its factorization.

13577513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11025, while the sum is 32.

The square root of 13577513 is about 3684.7676995979. The cubic root of 13577513 is about 238.5650076900.

The spelling of 13577513 in words is "thirteen million, five hundred seventy-seven thousand, five hundred thirteen".