21010736560009 has 9 divisors (see below), whose sum is σ = 24441098221191. Its totient is φ = 18009175263240.

The previous prime is 21010736559961. The next prime is 21010736560027. The reversal of 21010736560009 is 90006563701012.

The square root of 21010736560009 is 4583747.

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., 783230310009 + 20227506250000 = 885003^2 + 4497500^2 .

It is not a de Polignac number, because 21010736560009 - 2²¹ = 21010734462857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21010736560039) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31758819 + ... + 32413639.

Almost surely, 2^{21010736560009} is an apocalyptic number.

21010736560009 is the 4583747-th square number.

21010736560009 is the 2291874-th centered octagonal number.

It is an amenable number.

21010736560009 is a deficient number, since it is larger than the sum of its proper divisors (3430361661182).

21010736560009 is an frugal number, since it uses more digits than its factorization.

21010736560009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309656 (or 654828 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 21010736560009 in words is "twenty-one trillion, ten billion, seven hundred thirty-six million, five hundred sixty thousand, nine".