513303231 has 32 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 284037120.

The previous prime is 513303229. The next prime is 513303319. The reversal of 513303231 is 132303315.

It is not a de Polignac number, because 513303231 - 2¹ = 513303229 is a prime.

It is a super-2 number, since 2×513303231² = 526960413910078722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 513303198 and 513303207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513303631) 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, 117535 + ... + 121823.

It is an arithmetic number, because the mean of its divisors is an integer number (25225200).

Almost surely, 2^513303231 is an apocalyptic number.

513303231 is a deficient number, since it is larger than the sum of its proper divisors (293903169).

513303231 is a wasteful number, since it uses less digits than its factorization.

513303231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 513303231 is about 22656.1963047640. The cubic root of 513303231 is about 800.6781910545.

Adding to 513303231 its reverse (132303315), we get a palindrome (645606546).

The spelling of 513303231 in words is "five hundred thirteen million, three hundred three thousand, two hundred thirty-one".