513563253 has 32 divisors (see below), whose sum is σ = 809582592. Its totient is φ = 283478400.

The previous prime is 513563227. The next prime is 513563261. The reversal of 513563253 is 352365315.

It is not a de Polignac number, because 513563253 - 2⁵ = 513563221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513563053) 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 31 ways as a sum of consecutive naturals, for example, 85788 + ... + 91578.

It is an arithmetic number, because the mean of its divisors is an integer number (25299456).

Almost surely, 2^513563253 is an apocalyptic number.

It is an amenable number.

513563253 is a deficient number, since it is larger than the sum of its proper divisors (296019339).

513563253 is a wasteful number, since it uses less digits than its factorization.

513563253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945.

The product of its digits is 40500, while the sum is 33.

The square root of 513563253 is about 22661.9340083762. The cubic root of 513563253 is about 800.8133670332.

The spelling of 513563253 in words is "five hundred thirteen million, five hundred sixty-three thousand, two hundred fifty-three".