37000006409 has 2 divisors, whose sum is σ = 37000006410. Its totient is φ = 37000006408.

The previous prime is 37000006363. The next prime is 37000006411. The reversal of 37000006409 is 90460000073.

37000006409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31109904400 + 5890102009 = 176380^2 + 76747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37000006409 is a prime.

It is a Sophie Germain prime.

Together with 37000006411, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37000006489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18500003204 + 18500003205.

It is an arithmetic number, because the mean of its divisors is an integer number (18500003205).

Almost surely, 2^37000006409 is an apocalyptic number.

It is an amenable number.

37000006409 is a deficient number, since it is larger than the sum of its proper divisors (1).

37000006409 is an equidigital number, since it uses as much as digits as its factorization.

37000006409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 37000006409 in words is "thirty-seven billion, six thousand, four hundred nine".