2813241601 has 2 divisors, whose sum is σ = 2813241602. Its totient is φ = 2813241600.

The previous prime is 2813241547. The next prime is 2813241611. The reversal of 2813241601 is 1061423182.

It is a Cunningham number, because it is equal to 53040²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2813241600 + 1 = 53040^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 2813241601 - 2⁹ = 2813241089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2813241601.

It is not a weakly prime, because it can be changed into another prime (2813241611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1406620800 + 1406620801.

It is an arithmetic number, because the mean of its divisors is an integer number (1406620801).

Almost surely, 2^2813241601 is an apocalyptic number.

It is an amenable number.

2813241601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2813241601 is an equidigital number, since it uses as much as digits as its factorization.

2813241601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2813241601 is about 53040.0000094268. Note that the first 5 decimals coincide. The cubic root of 2813241601 is about 1411.6780987759.

Adding to 2813241601 its reverse (1061423182), we get a palindrome (3874664783).

The spelling of 2813241601 in words is "two billion, eight hundred thirteen million, two hundred forty-one thousand, six hundred one".