13004801 has 2 divisors, whose sum is σ = 13004802. Its totient is φ = 13004800.

The previous prime is 13004777. The next prime is 13004807. The reversal of 13004801 is 10840031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6754801 + 6250000 = 2599^2 + 2500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13004801 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13004801.

It is not a weakly prime, because it can be changed into another prime (13004807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502400 + 6502401.

It is an arithmetic number, because the mean of its divisors is an integer number (6502401).

It is a Proth number, since it is equal to 3175 ⋅ 2¹² + 1 and 3175 < 2¹².

Almost surely, 2^13004801 is an apocalyptic number.

It is an amenable number.

13004801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13004801 is an equidigital number, since it uses as much as digits as its factorization.

13004801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13004801 is about 3606.2169929165. The cubic root of 13004801 is about 235.1624107424.

Adding to 13004801 its reverse (10840031), we get a palindrome (23844832).

The spelling of 13004801 in words is "thirteen million, four thousand, eight hundred one".