512201316 has 96 divisors (see below), whose sum is σ = 1378782720. Its totient is φ = 146361600.

The previous prime is 512201303. The next prime is 512201321. The reversal of 512201316 is 613102215.

It is a super-2 number, since 2×512201316² = 524700376224263712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512201292 and 512201301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829840 + ... + 830456.

It is an arithmetic number, because the mean of its divisors is an integer number (14362320).

Almost surely, 2^512201316 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 512201316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689391360).

512201316 is an abundant number, since it is smaller than the sum of its proper divisors (866581404).

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

512201316 is a wasteful number, since it uses less digits than its factorization.

512201316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 512201316 is about 22631.8650579222. The cubic root of 512201316 is about 800.1048383439.

The spelling of 512201316 in words is "five hundred twelve million, two hundred one thousand, three hundred sixteen".