13435359921 has 45 divisors (see below), whose sum is σ = 20540458939. Its totient is φ = 8787908376.

The previous prime is 13435359893. The next prime is 13435359943. The reversal of 13435359921 is 12995353431.

The square root of 13435359921 is 115911.

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

13435359921 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 53 + 599 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9685512225 + 3749847696 = 98415^2 + 61236^2 .

It is not a de Polignac number, because 13435359921 - 2¹⁵ = 13435327153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13435359991) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 253497331 + ... + 253497383.

Almost surely, 2^13435359921 is an apocalyptic number.

13435359921 is the 115911-st square number.

13435359921 is the 57956-th centered octagonal number.

It is an amenable number.

13435359921 is a deficient number, since it is larger than the sum of its proper divisors (7105099018).

13435359921 is an frugal number, since it uses more digits than its factorization.

13435359921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 56 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 13435359921 in words is "thirteen billion, four hundred thirty-five million, three hundred fifty-nine thousand, nine hundred twenty-one".