1353605366137 has 2 divisors, whose sum is σ = 1353605366138. Its totient is φ = 1353605366136.

The previous prime is 1353605366119. The next prime is 1353605366143. The reversal of 1353605366137 is 7316635063531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1314361359936 + 39244006201 = 1146456^2 + 198101^2 .

It is a cyclic number.

It is not a de Polignac number, because 1353605366137 - 2¹⁵ = 1353605333369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1353605366237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 676802683068 + 676802683069.

It is an arithmetic number, because the mean of its divisors is an integer number (676802683069).

Almost surely, 2^{1353605366137} is an apocalyptic number.

It is an amenable number.

1353605366137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353605366137 is an equidigital number, since it uses as much as digits as its factorization.

1353605366137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3061800, while the sum is 49.

The spelling of 1353605366137 in words is "one trillion, three hundred fifty-three billion, six hundred five million, three hundred sixty-six thousand, one hundred thirty-seven".