8100616409 has 2 divisors, whose sum is σ = 8100616410. Its totient is φ = 8100616408.

The previous prime is 8100616367. The next prime is 8100616421. The reversal of 8100616409 is 9046160018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5069012809 + 3031603600 = 71197^2 + 55060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8100616409 is a prime.

It is not a weakly prime, because it can be changed into another prime (8100616439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4050308204 + 4050308205.

It is an arithmetic number, because the mean of its divisors is an integer number (4050308205).

Almost surely, 2^8100616409 is an apocalyptic number.

It is an amenable number.

8100616409 is a deficient number, since it is larger than the sum of its proper divisors (1).

8100616409 is an equidigital number, since it uses as much as digits as its factorization.

8100616409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 8100616409 is about 90003.4244292960. The cubic root of 8100616409 is about 2008.3497927191.

The spelling of 8100616409 in words is "eight billion, one hundred million, six hundred sixteen thousand, four hundred nine".