13515263 has 2 divisors, whose sum is σ = 13515264. Its totient is φ = 13515262.

The previous prime is 13515253. The next prime is 13515317. The reversal of 13515263 is 36251531.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13515263 - 2¹² = 13511167 is a prime.

It is equal to p₈₈₀₅₅₀ and since 13515263 and 880550 have the same sum of digits, it is a Honaker prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13515233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6757631 + 6757632.

It is an arithmetic number, because the mean of its divisors is an integer number (6757632).

Almost surely, 2^13515263 is an apocalyptic number.

13515263 is a deficient number, since it is larger than the sum of its proper divisors (1).

13515263 is an equidigital number, since it uses as much as digits as its factorization.

13515263 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 26.

The square root of 13515263 is about 3676.3110586565. The cubic root of 13515263 is about 238.1998591920.

Adding to 13515263 its reverse (36251531), we get a palindrome (49766794).

The spelling of 13515263 in words is "thirteen million, five hundred fifteen thousand, two hundred sixty-three".