1355365505106 has 24 divisors (see below), whose sum is σ = 3015993512844. Its totient is φ = 439578001440.

The previous prime is 1355365505093. The next prime is 1355365505141. The reversal of 1355365505106 is 6015055635531.

1355365505106 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 36 + 5 + 505 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1216478849481 + 138886655625 = 1102941^2 + 372675^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017541005 + ... + 1017542336.

Almost surely, 2^{1355365505106} is an apocalyptic number.

1355365505106 is an abundant number, since it is smaller than the sum of its proper divisors (1660628007738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1355365505106 is a wasteful number, since it uses less digits than its factorization.

1355365505106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035083386 (or 2035083383 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 45.

The spelling of 1355365505106 in words is "one trillion, three hundred fifty-five billion, three hundred sixty-five million, five hundred five thousand, one hundred six".