516201672 has 96 divisors (see below), whose sum is σ = 1507809600. Its totient is φ = 146837376.

The previous prime is 516201667. The next prime is 516201731. The reversal of 516201672 is 276102615.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308454 + ... + 310122.

It is an arithmetic number, because the mean of its divisors is an integer number (15706350).

Almost surely, 2^516201672 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 516201672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753904800).

516201672 is an abundant number, since it is smaller than the sum of its proper divisors (991607928).

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

516201672 is a wasteful number, since it uses less digits than its factorization.

516201672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 516201672 is about 22720.0720069281. The cubic root of 516201672 is about 802.1824117680.

The spelling of 516201672 in words is "five hundred sixteen million, two hundred one thousand, six hundred seventy-two".