813120601 has 2 divisors, whose sum is σ = 813120602. Its totient is φ = 813120600.

The previous prime is 813120563. The next prime is 813120611. The reversal of 813120601 is 106021318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 813105225 + 15376 = 28515^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 813120601 - 2¹³ = 813112409 is a prime.

It is a super-2 number, since 2×813120601² = 1322330223541202402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813120611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406560300 + 406560301.

It is an arithmetic number, because the mean of its divisors is an integer number (406560301).

Almost surely, 2^813120601 is an apocalyptic number.

It is an amenable number.

813120601 is a deficient number, since it is larger than the sum of its proper divisors (1).

813120601 is an equidigital number, since it uses as much as digits as its factorization.

813120601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 813120601 is about 28515.2696112101. The cubic root of 813120601 is about 933.3653082441.

Adding to 813120601 its reverse (106021318), we get a palindrome (919141919).

The spelling of 813120601 in words is "eight hundred thirteen million, one hundred twenty thousand, six hundred one".