513534330 has 96 divisors (see below), whose sum is σ = 1392116544. Its totient is φ = 136204416.

The previous prime is 513534323. The next prime is 513534367. The reversal of 513534330 is 33435315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 513534294 and 513534303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565737 + ... + 566643.

It is an arithmetic number, because the mean of its divisors is an integer number (14501214).

Almost surely, 2^513534330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513534330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696058272).

513534330 is an abundant number, since it is smaller than the sum of its proper divisors (878582214).

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

513534330 is a wasteful number, since it uses less digits than its factorization.

513534330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 513534330 is about 22661.2958587985. The cubic root of 513534330 is about 800.7983332733.

Adding to 513534330 its reverse (33435315), we get a palindrome (546969645).

The spelling of 513534330 in words is "five hundred thirteen million, five hundred thirty-four thousand, three hundred thirty".