37813628609 has 2 divisors, whose sum is σ = 37813628610. Its totient is φ = 37813628608.

The previous prime is 37813628599. The next prime is 37813628651. The reversal of 37813628609 is 90682631873.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22064131600 + 15749497009 = 148540^2 + 125497^2 .

It is an emirp because it is prime and its reverse (90682631873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37813628609 - 2³² = 33518661313 is a prime.

It is not a weakly prime, because it can be changed into another prime (37813628689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18906814304 + 18906814305.

It is an arithmetic number, because the mean of its divisors is an integer number (18906814305).

Almost surely, 2^37813628609 is an apocalyptic number.

It is an amenable number.

37813628609 is a deficient number, since it is larger than the sum of its proper divisors (1).

37813628609 is an equidigital number, since it uses as much as digits as its factorization.

37813628609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 37813628609 in words is "thirty-seven billion, eight hundred thirteen million, six hundred twenty-eight thousand, six hundred nine".