516325000 has 96 divisors (see below), whose sum is σ = 1274918400. Its totient is φ = 195480000.

The previous prime is 516324997. The next prime is 516325009. The reversal of 516325000 is 523615.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (516325009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474457 + ... + 475543.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 2^516325000 is an apocalyptic number.

516325000 is a gapful number since it is divisible by the number (50) 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 516325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

516325000 is an abundant number, since it is smaller than the sum of its proper divisors (758593400).

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

516325000 is a wasteful number, since it uses less digits than its factorization.

516325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 516325000 is about 22722.7859207448. The cubic root of 516325000 is about 802.2462909844.

Adding to 516325000 its reverse (523615), we get a palindrome (516848615).

The spelling of 516325000 in words is "five hundred sixteen million, three hundred twenty-five thousand".