240553122311133 has 12 divisors (see below), whose sum is σ = 347978864287548. Its totient is φ = 160131866743680.

The previous prime is 240553122311129. The next prime is 240553122311197. The reversal of 240553122311133 is 331113221355042.

240553122311133 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 531 + 2 + 2 + 3 + 1 + 113 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170674941604644 + 69878180706489 = 13064262^2 + 8359317^2 .

It is not a de Polignac number, because 240553122311133 - 2² = 240553122311129 is a prime.

It is a super-2 number, since 2×240553122311133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240553122361133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19740115548 + ... + 19740127733.

It is an arithmetic number, because the mean of its divisors is an integer number (28998238690629).

Almost surely, 2^{240553122311133} is an apocalyptic number.

It is an amenable number.

240553122311133 is a deficient number, since it is larger than the sum of its proper divisors (107425741976415).

240553122311133 is a wasteful number, since it uses less digits than its factorization.

240553122311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39480243964 (or 39480243961 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 240553122311133 its reverse (331113221355042), we get a palindrome (571666343666175).

The spelling of 240553122311133 in words is "two hundred forty trillion, five hundred fifty-three billion, one hundred twenty-two million, three hundred eleven thousand, one hundred thirty-three".