2153511146313 has 12 divisors (see below), whose sum is σ = 3126744453300. Its totient is φ = 1428235370496.

The previous prime is 2153511146291. The next prime is 2153511146323. The reversal of 2153511146313 is 3136411153512.

2153511146313 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 5 + 1 + 1 + 14 + 631 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313725452544 + 1839785693769 = 560112^2 + 1356387^2 .

It is not a de Polignac number, because 2153511146313 - 2⁶ = 2153511146249 is a prime.

It is a super-2 number, since 2×2153511146313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2153511146323) 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, 619892088 + ... + 619895561.

It is an arithmetic number, because the mean of its divisors is an integer number (260562037775).

Almost surely, 2^{2153511146313} is an apocalyptic number.

It is an amenable number.

2153511146313 is a deficient number, since it is larger than the sum of its proper divisors (973233306987).

2153511146313 is a wasteful number, since it uses less digits than its factorization.

2153511146313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239787848 (or 1239787845 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 2153511146313 its reverse (3136411153512), we get a palindrome (5289922299825).

The spelling of 2153511146313 in words is "two trillion, one hundred fifty-three billion, five hundred eleven million, one hundred forty-six thousand, three hundred thirteen".