823513241 has 2 divisors, whose sum is σ = 823513242. Its totient is φ = 823513240.

The previous prime is 823513213. The next prime is 823513247. The reversal of 823513241 is 142315328.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 467813641 + 355699600 = 21629^2 + 18860^2 .

It is a cyclic number.

It is not a de Polignac number, because 823513241 - 2⁶ = 823513177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (823513247) 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 as a sum of consecutive naturals, namely, 411756620 + 411756621.

It is an arithmetic number, because the mean of its divisors is an integer number (411756621).

Almost surely, 2^823513241 is an apocalyptic number.

It is an amenable number.

823513241 is a deficient number, since it is larger than the sum of its proper divisors (1).

823513241 is an equidigital number, since it uses as much as digits as its factorization.

823513241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 29.

The square root of 823513241 is about 28696.9204096886. The cubic root of 823513241 is about 937.3249891031.

Adding to 823513241 its reverse (142315328), we get a palindrome (965828569).

The spelling of 823513241 in words is "eight hundred twenty-three million, five hundred thirteen thousand, two hundred forty-one".