813397601 has 2 divisors, whose sum is σ = 813397602. Its totient is φ = 813397600.

The previous prime is 813397583. The next prime is 813397643. The reversal of 813397601 is 106793318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 739024225 + 74373376 = 27185^2 + 8624^2 .

It is a cyclic number.

It is not a de Polignac number, because 813397601 - 2⁶ = 813397537 is a prime.

It is not a weakly prime, because it can be changed into another prime (813397661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406698800 + 406698801.

It is an arithmetic number, because the mean of its divisors is an integer number (406698801).

Almost surely, 2^813397601 is an apocalyptic number.

It is an amenable number.

813397601 is a deficient number, since it is larger than the sum of its proper divisors (1).

813397601 is an equidigital number, since it uses as much as digits as its factorization.

813397601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 813397601 is about 28520.1262444611. The cubic root of 813397601 is about 933.4712838469.

The spelling of 813397601 in words is "eight hundred thirteen million, three hundred ninety-seven thousand, six hundred one".