516091338 has 160 divisors (see below), whose sum is σ = 1474070400. Its totient is φ = 131383296.

The previous prime is 516091327. The next prime is 516091343. The reversal of 516091338 is 833190615.

It is a happy number.

516091338 is a `hidden beast` number, since 5 + 1 + 609 + 13 + 38 = 666.

It is a Curzon number.

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 79 ways as a sum of consecutive naturals, for example, 365578 + ... + 366986.

It is an arithmetic number, because the mean of its divisors is an integer number (9212940).

Almost surely, 2^516091338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516091338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737035200).

516091338 is an abundant number, since it is smaller than the sum of its proper divisors (957979062).

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

516091338 is a wasteful number, since it uses less digits than its factorization.

516091338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 516091338 is about 22717.6437598621. The cubic root of 516091338 is about 802.1252543263.

The spelling of 516091338 in words is "five hundred sixteen million, ninety-one thousand, three hundred thirty-eight".