513050600 has 96 divisors (see below), whose sum is σ = 1258011000. Its totient is φ = 194288640.

The previous prime is 513050579. The next prime is 513050617. The reversal of 513050600 is 6050315.

It can be written as a sum of positive squares in 12 ways, for example, as 75655204 + 437395396 = 8698^2 + 20914^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306566 + ... + 308234.

Almost surely, 2^513050600 is an apocalyptic number.

513050600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629005500).

513050600 is an abundant number, since it is smaller than the sum of its proper divisors (744960400).

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

513050600 is a wasteful number, since it uses less digits than its factorization.

513050600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 513050600 is about 22650.6203005569. The cubic root of 513050600 is about 800.5468136584.

The spelling of 513050600 in words is "five hundred thirteen million, fifty thousand, six hundred".