8262628201 has 9 divisors (see below), whose sum is σ = 8778897399. Its totient is φ = 7775136864.

The previous prime is 8262628189. The next prime is 8262628207. The reversal of 8262628201 is 1028262628.

The square root of 8262628201 is 90899.

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., 6432842025 + 1829786176 = 80205^2 + 42776^2 .

It is not a de Polignac number, because 8262628201 - 2¹¹ = 8262626153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8262628207) 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, 1542610 + ... + 1547956.

Almost surely, 2^8262628201 is an apocalyptic number.

8262628201 is the 90899-th square number.

8262628201 is the 45450-th centered octagonal number.

It is an amenable number.

8262628201 is a deficient number, since it is larger than the sum of its proper divisors (516269198).

8262628201 is an frugal number, since it uses more digits than its factorization.

8262628201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The cubic root of 8262628201 is about 2021.6504663617.

Multiplying 8262628201 by its product of nonzero digits (36864), we get a square (304593526001664 = 17452608²).

The spelling of 8262628201 in words is "eight billion, two hundred sixty-two million, six hundred twenty-eight thousand, two hundred one".