513424323414 has 88 divisors (see below), whose sum is σ = 1167133506840. Its totient is φ = 169373317248.

The previous prime is 513424323361. The next prime is 513424323421. The reversal of 513424323414 is 414323424315.

513424323414 is a `hidden beast` number, since 513 + 42 + 43 + 23 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 11433097 + ... + 11477915.

Almost surely, 2^513424323414 is an apocalyptic number.

513424323414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513424323414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583566753420).

513424323414 is an abundant number, since it is smaller than the sum of its proper divisors (653709183426).

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

513424323414 is an frugal number, since it uses more digits than its factorization.

513424323414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44948 (or 44921 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 513424323414 its reverse (414323424315), we get a palindrome (927747747729).

The spelling of 513424323414 in words is "five hundred thirteen billion, four hundred twenty-four million, three hundred twenty-three thousand, four hundred fourteen".