1353065512361 has 2 divisors, whose sum is σ = 1353065512362. Its totient is φ = 1353065512360.

The previous prime is 1353065512343. The next prime is 1353065512387. The reversal of 1353065512361 is 1632155603531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1276900000000 + 76165512361 = 1130000^2 + 275981^2 .

It is an emirp because it is prime and its reverse (1632155603531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1353065512361 - 2⁶ = 1353065512297 is a prime.

It is not a weakly prime, because it can be changed into another prime (1353065512261) 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, 676532756180 + 676532756181.

It is an arithmetic number, because the mean of its divisors is an integer number (676532756181).

Almost surely, 2^{1353065512361} is an apocalyptic number.

It is an amenable number.

1353065512361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353065512361 is an equidigital number, since it uses as much as digits as its factorization.

1353065512361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 1353065512361 in words is "one trillion, three hundred fifty-three billion, sixty-five million, five hundred twelve thousand, three hundred sixty-one".