2153511216117 has 16 divisors (see below), whose sum is σ = 3276613663680. Its totient is φ = 1396872139536.

The previous prime is 2153511216089. The next prime is 2153511216139. The reversal of 2153511216117 is 7116121153512.

2153511216117 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 5 + 11 + 21 + 611 + 7 = 666.

It is not a de Polignac number, because 2153511216117 - 2²⁷ = 2153376998389 is a prime.

It is a super-2 number, since 2×2153511216117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153511216167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077832443 + ... + 1077834440.

It is an arithmetic number, because the mean of its divisors is an integer number (204788353980).

Almost surely, 2^{2153511216117} is an apocalyptic number.

2153511216117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2153511216117 is a deficient number, since it is larger than the sum of its proper divisors (1123102447563).

2153511216117 is a wasteful number, since it uses less digits than its factorization.

2153511216117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155666929 (or 2155666923 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

Adding to 2153511216117 its reverse (7116121153512), we get a palindrome (9269632369629).

The spelling of 2153511216117 in words is "two trillion, one hundred fifty-three billion, five hundred eleven million, two hundred sixteen thousand, one hundred seventeen".