1153138313511 has 6 divisors (see below), whose sum is σ = 1665644230640. Its totient is φ = 768758875668.

The previous prime is 1153138313489. The next prime is 1153138313513.

1153138313511 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 138 + 3 + 1 + 3 + 511 = 666.

1153138313511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1153138313511 - 2¹⁴ = 1153138297127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153138313513) 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 5 ways as a sum of consecutive naturals, for example, 64063239631 + ... + 64063239648.

Almost surely, 2^{1153138313511} is an apocalyptic number.

1153138313511 is a deficient number, since it is larger than the sum of its proper divisors (512505917129).

1153138313511 is a wasteful number, since it uses less digits than its factorization.

1153138313511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128126479285 (or 128126479282 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 1153138313511 in words is "one trillion, one hundred fifty-three billion, one hundred thirty-eight million, three hundred thirteen thousand, five hundred eleven".