513053563 has 16 divisors (see below), whose sum is σ = 568891872. Its totient is φ = 458784000.

The previous prime is 513053543. The next prime is 513053603. The reversal of 513053563 is 365350315.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513053563 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513053533) 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 in 15 ways as a sum of consecutive naturals, for example, 433833 + ... + 435013.

It is an arithmetic number, because the mean of its divisors is an integer number (35555742).

Almost surely, 2^513053563 is an apocalyptic number.

513053563 is a deficient number, since it is larger than the sum of its proper divisors (55838309).

513053563 is a wasteful number, since it uses less digits than its factorization.

513053563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 20250, while the sum is 31.

The square root of 513053563 is about 22650.6857070597. The cubic root of 513053563 is about 800.5483547771.

The spelling of 513053563 in words is "five hundred thirteen million, fifty-three thousand, five hundred sixty-three".