515713338 has 96 divisors (see below), whose sum is σ = 1353499200. Its totient is φ = 145097568.

The previous prime is 515713321. The next prime is 515713361. The reversal of 515713338 is 833317515.

It is a happy number.

515713338 is a `hidden beast` number, since 51 + 571 + 3 + 3 + 38 = 666.

It is a super-2 number, since 2×515713338² = 531920493982204488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175828 + ... + 178736.

It is an arithmetic number, because the mean of its divisors is an integer number (14098950).

Almost surely, 2^515713338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515713338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676749600).

515713338 is an abundant number, since it is smaller than the sum of its proper divisors (837785862).

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

515713338 is a wasteful number, since it uses less digits than its factorization.

515713338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2988 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 515713338 is about 22709.3227111686. The cubic root of 515713338 is about 801.9293733657.

The spelling of 515713338 in words is "five hundred fifteen million, seven hundred thirteen thousand, three hundred thirty-eight".