821310001 has 12 divisors (see below), whose sum is σ = 898597476. Its totient is φ = 748047360.

The previous prime is 821309981. The next prime is 821310029. The reversal of 821310001 is 100013128.

It can be written as a sum of positive squares in 2 ways, for example, as 577200625 + 244109376 = 24025^2 + 15624^2 .

It is not a de Polignac number, because 821310001 - 2⁷ = 821309873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (821310041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8800 + ... + 41473.

It is an arithmetic number, because the mean of its divisors is an integer number (74883123).

Almost surely, 2^821310001 is an apocalyptic number.

It is an amenable number.

821310001 is a deficient number, since it is larger than the sum of its proper divisors (77287475).

821310001 is a wasteful number, since it uses less digits than its factorization.

821310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50352 (or 50321 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 821310001 is about 28658.5066079864. The cubic root of 821310001 is about 936.4883312890.

Adding to 821310001 its reverse (100013128), we get a palindrome (921323129).

The spelling of 821310001 in words is "eight hundred twenty-one million, three hundred ten thousand, one".