515563 has 2 divisors, whose sum is σ = 515564. Its totient is φ = 515562.

The previous prime is 515539. The next prime is 515579. The reversal of 515563 is 365515.

515563 is nontrivially palindromic in base 14.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 515563 - 2¹³ = 507371 is a prime.

It is not a weakly prime, because it can be changed into another prime (515663) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257781 + 257782.

It is an arithmetic number, because the mean of its divisors is an integer number (257782).

2⁵¹⁵⁵⁶³ is an apocalyptic number.

515563 is a deficient number, since it is larger than the sum of its proper divisors (1).

515563 is an equidigital number, since it uses as much as digits as its factorization.

515563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2250, while the sum is 25.

The square root of 515563 is about 718.0271582607. The cubic root of 515563 is about 80.1851441069.

It can be divided in two parts, 5 and 15563, that multiplied together give a triangular number (77815 = T₃₉₄).

The spelling of 515563 in words is "five hundred fifteen thousand, five hundred sixty-three".