3605137638413 has 2 divisors, whose sum is σ = 3605137638414. Its totient is φ = 3605137638412.

The previous prime is 3605137638379. The next prime is 3605137638433. The reversal of 3605137638413 is 3148367315063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3593231118724 + 11906519689 = 1895582^2 + 109117^2 .

It is a cyclic number.

It is not a de Polignac number, because 3605137638413 - 2¹⁰ = 3605137637389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3605137638433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1802568819206 + 1802568819207.

It is an arithmetic number, because the mean of its divisors is an integer number (1802568819207).

Almost surely, 2^{3605137638413} is an apocalyptic number.

It is an amenable number.

3605137638413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3605137638413 is an equidigital number, since it uses as much as digits as its factorization.

3605137638413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 3605137638413 in words is "three trillion, six hundred five billion, one hundred thirty-seven million, six hundred thirty-eight thousand, four hundred thirteen".