513430281 has 81 divisors (see below), whose sum is σ = 945559719. Its totient is φ = 267557472.

The previous prime is 513430279. The next prime is 513430301. The reversal of 513430281 is 182034315.

It is a happy number.

The square root of 513430281 is 22659.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75951225 + 437479056 = 8715^2 + 20916^2 .

It is not a de Polignac number, because 513430281 - 2¹ = 513430279 is a prime.

It is a super-2 number, since 2×513430281² = 527221306895477922, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513430201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6185866 + ... + 6185948.

Almost surely, 2^513430281 is an apocalyptic number.

513430281 is the 22659-th square number.

513430281 is the 11330-th centered octagonal number.

It is an amenable number.

513430281 is a deficient number, since it is larger than the sum of its proper divisors (432129438).

513430281 is a wasteful number, since it uses less digits than its factorization.

513430281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 513430281 is about 800.7442454296.

Adding to 513430281 its reverse (182034315), we get a palindrome (695464596).

The spelling of 513430281 in words is "five hundred thirteen million, four hundred thirty thousand, two hundred eighty-one".