513329936 has 80 divisors (see below), whose sum is σ = 1158021120. Its totient is φ = 215913600.

The previous prime is 513329933. The next prime is 513329951. The reversal of 513329936 is 639923315.

It is a super-3 number, since 3×513329936³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513329893 and 513329902.

It is not an unprimeable number, because it can be changed into a prime (513329933) 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 15 ways as a sum of consecutive naturals, for example, 2147705 + ... + 2147943.

It is an arithmetic number, because the mean of its divisors is an integer number (14475264).

Almost surely, 2^513329936 is an apocalyptic number.

513329936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513329936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579010560).

513329936 is an abundant number, since it is smaller than the sum of its proper divisors (644691184).

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

513329936 is a wasteful number, since it uses less digits than its factorization.

513329936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 131220, while the sum is 41.

The square root of 513329936 is about 22656.7856502197. The cubic root of 513329936 is about 800.6920761157.

The spelling of 513329936 in words is "five hundred thirteen million, three hundred twenty-nine thousand, nine hundred thirty-six".