610563 has 8 divisors (see below), whose sum is σ = 818176. Its totient is φ = 405000.

The previous prime is 610559. The next prime is 610567. The reversal of 610563 is 365016.

It is an interprime number because it is at equal distance from previous prime (610559) and next prime (610567).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 610563 - 2² = 610559 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

610563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (610567) 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 in 7 ways as a sum of consecutive naturals, for example, 438 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (102272).

2⁶¹⁰⁵⁶³ is an apocalyptic number.

610563 is a deficient number, since it is larger than the sum of its proper divisors (207613).

610563 is a wasteful number, since it uses less digits than its factorization.

610563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 610563 is about 781.3853082827. The cubic root of 610563 is about 84.8353444542.

Adding to 610563 its reverse (365016), we get a palindrome (975579).

The spelling of 610563 in words is "six hundred ten thousand, five hundred sixty-three".