513424314 has 48 divisors (see below), whose sum is σ = 1208653992. Its totient is φ = 156570624.

The previous prime is 513424291. The next prime is 513424319. The reversal of 513424314 is 413424315.

It is a happy number.

513424314 is a `hidden beast` number, since 5 + 1 + 342 + 4 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41796225 + 471628089 = 6465^2 + 21717^2 .

It is not an unprimeable number, because it can be changed into a prime (513424319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16734 + ... + 36150.

Almost surely, 2^513424314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513424314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604326996).

513424314 is an abundant number, since it is smaller than the sum of its proper divisors (695229678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513424314 is a wasteful number, since it uses less digits than its factorization.

513424314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19551 (or 19548 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 513424314 is about 22658.8683300822. The cubic root of 513424314 is about 800.7411433794.

Adding to 513424314 its reverse (413424315), we get a palindrome (926848629).

Subtracting from 513424314 its reverse (413424315), we obtain a palindrome (99999999).

The spelling of 513424314 in words is "five hundred thirteen million, four hundred twenty-four thousand, three hundred fourteen".