513965284 has 48 divisors (see below), whose sum is σ = 1106904960. Its totient is φ = 203788800.

The previous prime is 513965281. The next prime is 513965293. The reversal of 513965284 is 482569315.

It is a self number, because there is not a number n which added to its sum of digits gives 513965284.

It is not an unprimeable number, because it can be changed into a prime (513965281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18934 + ... + 37234.

It is an arithmetic number, because the mean of its divisors is an integer number (23060520).

Almost surely, 2^513965284 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 513965284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553452480).

513965284 is an abundant number, since it is smaller than the sum of its proper divisors (592939676).

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

513965284 is a wasteful number, since it uses less digits than its factorization.

513965284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18388 (or 18386 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 513965284 is about 22670.8024560226. The cubic root of 513965284 is about 801.0222785435.

The spelling of 513965284 in words is "five hundred thirteen million, nine hundred sixty-five thousand, two hundred eighty-four".