1353355705505 has 8 divisors (see below), whose sum is σ = 1624621962600. Its totient is φ = 1082287820416.

The previous prime is 1353355705487. The next prime is 1353355705511. The reversal of 1353355705505 is 5055075533531.

It can be written as a sum of positive squares in 4 ways, for example, as 315663061921 + 1037692643584 = 561839^2 + 1018672^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1353355705505 - 2⁸ = 1353355705249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1353355705505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49577990 + ... + 49605279.

It is an arithmetic number, because the mean of its divisors is an integer number (203077745325).

Almost surely, 2^{1353355705505} is an apocalyptic number.

It is an amenable number.

1353355705505 is a deficient number, since it is larger than the sum of its proper divisors (271266257095).

1353355705505 is an equidigital number, since it uses as much as digits as its factorization.

1353355705505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99186003.

The product of its (nonzero) digits is 2953125, while the sum is 47.

The spelling of 1353355705505 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-five million, seven hundred five thousand, five hundred five".