513205350 has 96 divisors (see below), whose sum is σ = 1540187136. Its totient is φ = 110400000.

The previous prime is 513205247. The next prime is 513205391. The reversal of 513205350 is 53502315.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513205350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3475 + ... + 32225.

It is an arithmetic number, because the mean of its divisors is an integer number (16043616).

Almost surely, 2^513205350 is an apocalyptic number.

513205350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513205350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770093568).

513205350 is an abundant number, since it is smaller than the sum of its proper divisors (1026981786).

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

513205350 is a wasteful number, since it uses less digits than its factorization.

513205350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28790 (or 28785 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 513205350 is about 22654.0360642425. The cubic root of 513205350 is about 800.6272944569.

Adding to 513205350 its reverse (53502315), we get a palindrome (566707665).

The spelling of 513205350 in words is "five hundred thirteen million, two hundred five thousand, three hundred fifty".