513300150 has 144 divisors (see below), whose sum is σ = 1518639408. Its totient is φ = 124291200.

The previous prime is 513300133. The next prime is 513300187. The reversal of 513300150 is 51003315.

It is a happy number.

513300150 is a `hidden beast` number, since 513 + 3 + 0 + 0 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 598522 + ... + 599378.

It is an arithmetic number, because the mean of its divisors is an integer number (10546107).

Almost surely, 2^513300150 is an apocalyptic number.

513300150 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 513300150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759319704).

513300150 is an abundant number, since it is smaller than the sum of its proper divisors (1005339258).

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

513300150 is a wasteful number, since it uses less digits than its factorization.

513300150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 513300150 is about 22656.1283100180. The cubic root of 513300150 is about 800.6765890810.

Adding to 513300150 its reverse (51003315), we get a palindrome (564303465).

The spelling of 513300150 in words is "five hundred thirteen million, three hundred thousand, one hundred fifty".