1135035245205 has 56 divisors (see below), whose sum is σ = 2043282486840. Its totient is φ = 605010280320.

The previous prime is 1135035245137. The next prime is 1135035245207. The reversal of 1135035245205 is 5025425305311.

1135035245205 is a `hidden beast` number, since 1 + 13 + 50 + 352 + 45 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 329467964049 + 805567281156 = 573993^2 + 897534^2 .

It is not a de Polignac number, because 1135035245205 - 2⁷ = 1135035245077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1135035245205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135035245207) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6433875 + ... + 6607935.

It is an arithmetic number, because the mean of its divisors is an integer number (36487187265).

Almost surely, 2^{1135035245205} is an apocalyptic number.

1135035245205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1135035245205 is a deficient number, since it is larger than the sum of its proper divisors (908247241635).

1135035245205 is an equidigital number, since it uses as much as digits as its factorization.

1135035245205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175873 (or 175858 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1135035245205 in words is "one trillion, one hundred thirty-five billion, thirty-five million, two hundred forty-five thousand, two hundred five".