1151225105205 has 32 divisors (see below), whose sum is σ = 2105418958848. Its totient is φ = 526193928000.

The previous prime is 1151225105203. The next prime is 1151225105243. The reversal of 1151225105205 is 5025015221511.

It is not a de Polignac number, because 1151225105205 - 2¹ = 1151225105203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151225105201) 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 31 ways as a sum of consecutive naturals, for example, 144321 + ... + 1524230.

It is an arithmetic number, because the mean of its divisors is an integer number (65794342464).

Almost surely, 2^{1151225105205} is an apocalyptic number.

1151225105205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1151225105205 is a deficient number, since it is larger than the sum of its proper divisors (954193853643).

1151225105205 is a wasteful number, since it uses less digits than its factorization.

1151225105205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675137.

The product of its (nonzero) digits is 5000, while the sum is 30.

The spelling of 1151225105205 in words is "one trillion, one hundred fifty-one billion, two hundred twenty-five million, one hundred five thousand, two hundred five".