813201282 has 40 divisors (see below), whose sum is σ = 1833836796. Its totient is φ = 269332128.

The previous prime is 813201253. The next prime is 813201293. The reversal of 813201282 is 282102318.

It can be written as a sum of positive squares in 2 ways, for example, as 783944001 + 29257281 = 27999^2 + 5409^2 .

It is a super-2 number, since 2×813201282² = 1322592650092887048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9448 + ... + 41420.

Almost surely, 2^813201282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813201282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916918398).

813201282 is an abundant number, since it is smaller than the sum of its proper divisors (1020635514).

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

813201282 is a wasteful number, since it uses less digits than its factorization.

813201282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32144 (or 32135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 813201282 is about 28516.6842742981. The cubic root of 813201282 is about 933.3961779396.

The spelling of 813201282 in words is "eight hundred thirteen million, two hundred one thousand, two hundred eighty-two".