2135271681 has 27 divisors (see below), whose sum is σ = 3142001187. Its totient is φ = 1397360160.

The previous prime is 2135271647. The next prime is 2135271731. The reversal of 2135271681 is 1861725312.

The square root of 2135271681 is 46209.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1212084225 + 923187456 = 34815^2 + 30384^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2135271681 is a prime.

It is a super-2 number, since 2×2135271681² = 9118770303361131522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135270681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10119666 + ... + 10119876.

Almost surely, 2^2135271681 is an apocalyptic number.

2135271681 is the 46209-th square number.

2135271681 is the 23105-th centered octagonal number.

It is an amenable number.

2135271681 is a deficient number, since it is larger than the sum of its proper divisors (1006729506).

2135271681 is an frugal number, since it uses more digits than its factorization.

2135271681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The cubic root of 2135271681 is about 1287.7089477201.

Multiplying 2135271681 by its sum of digits (36), we get a square (76869780516 = 277254²).

Adding to 2135271681 its reverse (1861725312), we get a palindrome (3996996993).

The spelling of 2135271681 in words is "two billion, one hundred thirty-five million, two hundred seventy-one thousand, six hundred eighty-one".