7813000001 has 2 divisors, whose sum is σ = 7813000002. Its totient is φ = 7813000000.

The previous prime is 7812999983. The next prime is 7813000003. The reversal of 7813000001 is 1000003187.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7711474225 + 101525776 = 87815^2 + 10076^2 .

It is a cyclic number.

It is not a de Polignac number, because 7813000001 - 2²⁶ = 7745891137 is a prime.

It is a super-2 number, since 2×7813000001² (a number of 21 digits) contains 22 as substring.

Together with 7813000003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7813000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3906500000 + 3906500001.

It is an arithmetic number, because the mean of its divisors is an integer number (3906500001).

Almost surely, 2^7813000001 is an apocalyptic number.

It is an amenable number.

7813000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7813000001 is an equidigital number, since it uses as much as digits as its factorization.

7813000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 7813000001 is about 88391.1760358465. The cubic root of 7813000001 is about 1984.2936448366.

Adding to 7813000001 its reverse (1000003187), we get a palindrome (8813003188).

The spelling of 7813000001 in words is "seven billion, eight hundred thirteen million, one", and thus it is an aban number.