1085338553 has 8 divisors (see below), whose sum is σ = 1170036168. Its totient is φ = 1000813824.

The previous prime is 1085338519. The next prime is 1085338607. The reversal of 1085338553 is 3558335801.

It can be written as a sum of positive squares in 4 ways, for example, as 333865984 + 751472569 = 18272^2 + 27413^2 .

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 1085338553 - 2⁸ = 1085338297 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 1085338553.

It is not an unprimeable number, because it can be changed into a prime (1085338853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30026 + ... + 55427.

It is an arithmetic number, because the mean of its divisors is an integer number (146254521).

Almost surely, 2^1085338553 is an apocalyptic number.

1085338553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1085338553 is a deficient number, since it is larger than the sum of its proper divisors (84697615).

1085338553 is an equidigital number, since it uses as much as digits as its factorization.

1085338553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86443.

The product of its (nonzero) digits is 216000, while the sum is 41.

The square root of 1085338553 is about 32944.4768208572. The cubic root of 1085338553 is about 1027.6733081649.

The spelling of 1085338553 in words is "one billion, eighty-five million, three hundred thirty-eight thousand, five hundred fifty-three".