516225600 has 252 divisors, whose sum is σ = 2002200720. Its totient is φ = 125107200.

The previous prime is 516225583. The next prime is 516225601. The reversal of 516225600 is 6522615.

516225600 is a `hidden beast` number, since 51 + 6 + 2 + 2 + 5 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (516225601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156771 + ... + 160029.

Almost surely, 2^516225600 is an apocalyptic number.

516225600 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 516225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001100360).

516225600 is an abundant number, since it is smaller than the sum of its proper divisors (1485975120).

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

516225600 is a wasteful number, since it uses less digits than its factorization.

516225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 516225600 is about 22720.5985836641. The cubic root of 516225600 is about 802.1948063580.

The spelling of 516225600 in words is "five hundred sixteen million, two hundred twenty-five thousand, six hundred".