2053638186337 has 2 divisors, whose sum is σ = 2053638186338. Its totient is φ = 2053638186336.

The previous prime is 2053638186311. The next prime is 2053638186361. The reversal of 2053638186337 is 7336818363502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1037350398016 + 1016287788321 = 1018504^2 + 1008111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2053638186337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2053638186037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026819093168 + 1026819093169.

It is an arithmetic number, because the mean of its divisors is an integer number (1026819093169).

Almost surely, 2^{2053638186337} is an apocalyptic number.

It is an amenable number.

2053638186337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053638186337 is an equidigital number, since it uses as much as digits as its factorization.

2053638186337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 2053638186337 in words is "two trillion, fifty-three billion, six hundred thirty-eight million, one hundred eighty-six thousand, three hundred thirty-seven".