1085355008257 has 16 divisors (see below), whose sum is σ = 1230984216000. Its totient is φ = 948656332224.

The previous prime is 1085355008237. The next prime is 1085355008263. The reversal of 1085355008257 is 7528005535801.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1085355008257 - 2³⁹ = 535599194369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1085355008257.

It is not an unprimeable number, because it can be changed into a prime (1085355008237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 621382 + ... + 1599007.

It is an arithmetic number, because the mean of its divisors is an integer number (76936513500).

Almost surely, 2^{1085355008257} is an apocalyptic number.

It is an amenable number.

1085355008257 is a deficient number, since it is larger than the sum of its proper divisors (145629207743).

1085355008257 is a wasteful number, since it uses less digits than its factorization.

1085355008257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222400.

The product of its (nonzero) digits is 1680000, while the sum is 49.

The spelling of 1085355008257 in words is "one trillion, eighty-five billion, three hundred fifty-five million, eight thousand, two hundred fifty-seven".