513128196 has 90 divisors (see below), whose sum is σ = 1560473838. Its totient is φ = 146603520.

The previous prime is 513128191. The next prime is 513128227. The reversal of 513128196 is 691821315.

513128196 is a `hidden beast` number, since 513 + 128 + 19 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 411521796 + 101606400 = 20286^2 + 10080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513128196.

It is not an unprimeable number, because it can be changed into a prime (513128191) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 285 + ... + 32036.

Almost surely, 2^513128196 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 513128196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780236919).

513128196 is an abundant number, since it is smaller than the sum of its proper divisors (1047345642).

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

513128196 is a wasteful number, since it uses less digits than its factorization.

513128196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32351 (or 32333 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 513128196 is about 22652.3331248682. Note that the first 3 decimals coincide. The cubic root of 513128196 is about 800.5871710156.

The spelling of 513128196 in words is "five hundred thirteen million, one hundred twenty-eight thousand, one hundred ninety-six".