516003372 has 60 divisors (see below), whose sum is σ = 1352320200. Its totient is φ = 171569664.

The previous prime is 516003361. The next prime is 516003373. The reversal of 516003372 is 273300615.

It is a happy number.

516003372 is a `hidden beast` number, since 51 + 600 + 3 + 3 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (516003373) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143703 + ... + 147249.

It is an arithmetic number, because the mean of its divisors is an integer number (22538670).

Almost surely, 2^516003372 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 516003372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676160100).

516003372 is an abundant number, since it is smaller than the sum of its proper divisors (836316828).

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

516003372 is a wasteful number, since it uses less digits than its factorization.

516003372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 516003372 is about 22715.7076050912. The cubic root of 516003372 is about 802.0796785699.

Adding to 516003372 its reverse (273300615), we get a palindrome (789303987).

The spelling of 516003372 in words is "five hundred sixteen million, three thousand, three hundred seventy-two".