21652828201 has 27 divisors (see below), whose sum is σ = 23047449327. Its totient is φ = 20341877760.

The previous prime is 21652828193. The next prime is 21652828273. The reversal of 21652828201 is 10282825612.

The square root of 21652828201 is 147149.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14232728601 + 7420099600 = 119301^2 + 86140^2 .

It is not a de Polignac number, because 21652828201 - 2³ = 21652828193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21652823201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 223224985 + ... + 223225081.

Almost surely, 2^21652828201 is an apocalyptic number.

21652828201 is the 147149-th square number.

21652828201 is the 73575-th centered octagonal number.

It is an amenable number.

21652828201 is a deficient number, since it is larger than the sum of its proper divisors (1394621126).

21652828201 is an frugal number, since it uses more digits than its factorization.

21652828201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 21652828201 in words is "twenty-one billion, six hundred fifty-two million, eight hundred twenty-eight thousand, two hundred one".