2311505505153 has 12 divisors (see below), whose sum is σ = 3595675230420. Its totient is φ = 1422464926176.

The previous prime is 2311505505121. The next prime is 2311505505209. The reversal of 2311505505153 is 3515055051132.

2311505505153 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 5 + 0 + 550 + 51 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 745723783809 + 1565781721344 = 863553^2 + 1251312^2 .

It is not a de Polignac number, because 2311505505153 - 2⁵ = 2311505505121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2311505505053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9878228538 + ... + 9878228771.

It is an arithmetic number, because the mean of its divisors is an integer number (299639602535).

Almost surely, 2^{2311505505153} is an apocalyptic number.

It is an amenable number.

2311505505153 is a deficient number, since it is larger than the sum of its proper divisors (1284169725267).

2311505505153 is a wasteful number, since it uses less digits than its factorization.

2311505505153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19756457328 (or 19756457325 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 2311505505153 in words is "two trillion, three hundred eleven billion, five hundred five million, five hundred five thousand, one hundred fifty-three".