2135456521 has 9 divisors (see below), whose sum is σ = 2347796199. Its totient is φ = 1940862000.

The previous prime is 2135456509. The next prime is 2135456537. The reversal of 2135456521 is 1256545312.

The square root of 2135456521 is 46211.

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., 121242121 + 2014214400 = 11011^2 + 44880^2 .

It is not a de Polignac number, because 2135456521 - 2¹⁷ = 2135325449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2135456501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 506221 + ... + 510421.

Almost surely, 2^2135456521 is an apocalyptic number.

2135456521 is the 46211-st square number.

2135456521 is the 23106-th centered octagonal number.

It is an amenable number.

2135456521 is a deficient number, since it is larger than the sum of its proper divisors (212339678).

2135456521 is an frugal number, since it uses more digits than its factorization.

2135456521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 4212 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The cubic root of 2135456521 is about 1287.7461035313.

The spelling of 2135456521 in words is "two billion, one hundred thirty-five million, four hundred fifty-six thousand, five hundred twenty-one".