1053617617705 has 8 divisors (see below), whose sum is σ = 1265976774792. Its totient is φ = 841803671808.

The previous prime is 1053617617607. The next prime is 1053617617709. The reversal of 1053617617705 is 5077167163501.

It can be written as a sum of positive squares in 4 ways, for example, as 5697769 + 1053611919936 = 2387^2 + 1026456^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1053617617705 is a prime.

It is a super-2 number, since 2×1053617617705² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053617617709) by changing a digit.

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, 136298544 + ... + 136306273.

It is an arithmetic number, because the mean of its divisors is an integer number (158247096849).

Almost surely, 2^{1053617617705} is an apocalyptic number.

It is an amenable number.

1053617617705 is a deficient number, since it is larger than the sum of its proper divisors (212359157087).

1053617617705 is an equidigital number, since it uses as much as digits as its factorization.

1053617617705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272605595.

The product of its (nonzero) digits is 926100, while the sum is 49.

The spelling of 1053617617705 in words is "one trillion, fifty-three billion, six hundred seventeen million, six hundred seventeen thousand, seven hundred five".