2126210171409 has 15 divisors (see below), whose sum is σ = 3176210107147. Its totient is φ = 1417464698688.

The previous prime is 2126210171387. The next prime is 2126210171441. The reversal of 2126210171409 is 9041710126212.

The square root of 2126210171409 is 1458153.

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

2126210171409 is a `hidden beast` number, since 2 + 1 + 2 + 621 + 0 + 17 + 14 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 451442891025 + 1674767280384 = 671895^2 + 1294128^2 .

It is not a de Polignac number, because 2126210171409 - 2¹⁷ = 2126210040337 is a prime.

It is a super-2 number, since 2×2126210171409² (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 (2126210371409) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13042369 + ... + 13204385.

Almost surely, 2^{2126210171409} is an apocalyptic number.

2126210171409 is the 1458153-rd square number.

2126210171409 is the 729077-th centered octagonal number.

It is an amenable number.

2126210171409 is a deficient number, since it is larger than the sum of its proper divisors (1049999935738).

2126210171409 is an frugal number, since it uses more digits than its factorization.

2126210171409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324046 (or 162020 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 2126210171409 by its sum of digits (36), we get a square (76543566170724 = 8748918²).

The spelling of 2126210171409 in words is "two trillion, one hundred twenty-six billion, two hundred ten million, one hundred seventy-one thousand, four hundred nine".