513812208 has 160 divisors (see below), whose sum is σ = 1655449600. Its totient is φ = 133705728.

The previous prime is 513812191. The next prime is 513812209. The reversal of 513812208 is 802218315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513812209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344328 + ... + 345816.

It is an arithmetic number, because the mean of its divisors is an integer number (10346560).

Almost surely, 2^513812208 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 513812208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827724800).

513812208 is an abundant number, since it is smaller than the sum of its proper divisors (1141637392).

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

513812208 is a wasteful number, since it uses less digits than its factorization.

513812208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 513812208 is about 22667.4261441391. The cubic root of 513812208 is about 800.9427469322.

The spelling of 513812208 in words is "five hundred thirteen million, eight hundred twelve thousand, two hundred eight".