813253417 has 2 divisors, whose sum is σ = 813253418. Its totient is φ = 813253416.

The previous prime is 813253379. The next prime is 813253433. The reversal of 813253417 is 714352318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796311961 + 16941456 = 28219^2 + 4116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-813253417 is a prime.

It is a super-2 number, since 2×813253417² = 1322762240524351778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813253457) 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, 406626708 + 406626709.

It is an arithmetic number, because the mean of its divisors is an integer number (406626709).

Almost surely, 2^813253417 is an apocalyptic number.

It is an amenable number.

813253417 is a deficient number, since it is larger than the sum of its proper divisors (1).

813253417 is an equidigital number, since it uses as much as digits as its factorization.

813253417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 813253417 is about 28517.5983736359. The cubic root of 813253417 is about 933.4161244444.

The spelling of 813253417 in words is "eight hundred thirteen million, two hundred fifty-three thousand, four hundred seventeen".