513150208 has 36 divisors (see below), whose sum is σ = 1028704320. Its totient is φ = 255471104.

The previous prime is 513150203. The next prime is 513150227. The reversal of 513150208 is 802051315.

It is a happy number.

It is a super-3 number, since 3×513150208³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513150203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56991 + ... + 65377.

It is an arithmetic number, because the mean of its divisors is an integer number (28575120).

Almost surely, 2^513150208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513150208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514352160).

513150208 is an abundant number, since it is smaller than the sum of its proper divisors (515554112).

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

513150208 is an equidigital number, since it uses as much as digits as its factorization.

513150208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8642 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 513150208 is about 22652.8189857245. The cubic root of 513150208 is about 800.5986186246.

The spelling of 513150208 in words is "five hundred thirteen million, one hundred fifty thousand, two hundred eight".