3796585565137 has 2 divisors, whose sum is σ = 3796585565138. Its totient is φ = 3796585565136.

The previous prime is 3796585565111. The next prime is 3796585565161. The reversal of 3796585565137 is 7315655856973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2610732082176 + 1185853482961 = 1615776^2 + 1088969^2 .

It is a cyclic number.

It is not a de Polignac number, because 3796585565137 - 2¹⁹ = 3796585040849 is a prime.

It is not a weakly prime, because it can be changed into another prime (3796585565167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1898292782568 + 1898292782569.

It is an arithmetic number, because the mean of its divisors is an integer number (1898292782569).

Almost surely, 2^{3796585565137} is an apocalyptic number.

It is an amenable number.

3796585565137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3796585565137 is an equidigital number, since it uses as much as digits as its factorization.

3796585565137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 714420000, while the sum is 70.

The spelling of 3796585565137 in words is "three trillion, seven hundred ninety-six billion, five hundred eighty-five million, five hundred sixty-five thousand, one hundred thirty-seven".