813201312 has 288 divisors, whose sum is σ = 2738123136. Its totient is φ = 206807040.

The previous prime is 813201293. The next prime is 813201329. The reversal of 813201312 is 213102318.

It is a super-2 number, since 2×813201312² = 1322592747677042688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5935708 + ... + 5935844.

It is an arithmetic number, because the mean of its divisors is an integer number (9507372).

Almost surely, 2^813201312 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 813201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369061568).

813201312 is an abundant number, since it is smaller than the sum of its proper divisors (1924921824).

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

813201312 is a wasteful number, since it uses less digits than its factorization.

813201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 813201312 is about 28516.6848003059. The cubic root of 813201312 is about 933.3961894176.

The spelling of 813201312 in words is "eight hundred thirteen million, two hundred one thousand, three hundred twelve".