263513 has 2 divisors, whose sum is σ = 263514. Its totient is φ = 263512.

The previous prime is 263503. The next prime is 263519. The reversal of 263513 is 315362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 1369 = 512^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 263513 - 2⁸ = 263257 is a prime.

It is not a weakly prime, because it can be changed into another prime (263519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131756 + 131757.

It is an arithmetic number, because the mean of its divisors is an integer number (131757).

2²⁶³⁵¹³ is an apocalyptic number.

It is an amenable number.

263513 is a deficient number, since it is larger than the sum of its proper divisors (1).

263513 is an equidigital number, since it uses as much as digits as its factorization.

263513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 20.

The square root of 263513 is about 513.3351731569. The cubic root of 263513 is about 64.1112161272. Note that the first 3 decimals are identical.

Adding to 263513 its reverse (315362), we get a palindrome (578875).

The spelling of 263513 in words is "two hundred sixty-three thousand, five hundred thirteen".