1268153011129 has 9 divisors (see below), whose sum is σ = 1270720123407. Its totient is φ = 1265591081304.

The previous prime is 1268153011117. The next prime is 1268153011157. The reversal of 1268153011129 is 9211103518621.

The square root of 1268153011129 is 1126123.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 429060370729 + 839092640400 = 655027^2 + 916020^2 .

It is not a de Polignac number, because 1268153011129 - 2¹³ = 1268153002937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1268153011091 and 1268153011100.

It is not an unprimeable number, because it can be changed into a prime (1268153311129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 818690647 + ... + 818692195.

It is an arithmetic number, because the mean of its divisors is an integer number (141191124823).

Almost surely, 2^{1268153011129} is an apocalyptic number.

1268153011129 is the 1126123-rd square number.

1268153011129 is the 563062-nd centered octagonal number.

It is an amenable number.

1268153011129 is a deficient number, since it is larger than the sum of its proper divisors (2567112278).

1268153011129 is an frugal number, since it uses more digits than its factorization.

1268153011129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 1268153011129 in words is "one trillion, two hundred sixty-eight billion, one hundred fifty-three million, eleven thousand, one hundred twenty-nine".