37845000901 has 2 divisors, whose sum is σ = 37845000902. Its totient is φ = 37845000900.

The previous prime is 37845000889. The next prime is 37845000967. The reversal of 37845000901 is 10900054873.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37480572801 + 364428100 = 193599^2 + 19090^2 .

It is an emirp because it is prime and its reverse (10900054873) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37845000901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37845000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18922500450 + 18922500451.

It is an arithmetic number, because the mean of its divisors is an integer number (18922500451).

Almost surely, 2^37845000901 is an apocalyptic number.

It is an amenable number.

37845000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

37845000901 is an equidigital number, since it uses as much as digits as its factorization.

37845000901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 37845000901 in words is "thirty-seven billion, eight hundred forty-five million, nine hundred one", and thus it is an aban number.