2129559408601 has 3 divisors (see below), whose sum is σ = 2129560867903. Its totient is φ = 2129557949300.

The previous prime is 2129559408533. The next prime is 2129559408607. The reversal of 2129559408601 is 1068049559212.

It is a happy number.

The square root of 2129559408601 is 1459301.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2032053101001 + 97506307600 = 1425501^2 + 312260^2 .

It is not a de Polignac number, because 2129559408601 - 2⁹ = 2129559408089 is a prime.

It is a super-2 number, since 2×2129559408601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2129559408607) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 729651 + ... + 2188951.

Almost surely, 2^{2129559408601} is an apocalyptic number.

2129559408601 is the 1459301-st square number.

2129559408601 is the 729651-st centered octagonal number.

It is an amenable number.

2129559408601 is a deficient number, since it is larger than the sum of its proper divisors (1459302).

2129559408601 is an frugal number, since it uses more digits than its factorization.

2129559408601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918602 (or 1459301 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 2129559408601 in words is "two trillion, one hundred twenty-nine billion, five hundred fifty-nine million, four hundred eight thousand, six hundred one".