4809561201 has 9 divisors (see below), whose sum is σ = 6947444491. Its totient is φ = 3206235432.

The previous prime is 4809561199. The next prime is 4809561227. The reversal of 4809561201 is 1021659084.

The square root of 4809561201 is 69351.

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

4809561201 is a `hidden beast` number, since 480 + 9 + 56 + 120 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3744225 + 4805816976 = 1935^2 + 69324^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4809561201 - 2¹ = 4809561199 is a prime.

It is a super-3 number, since 3×4809561201³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4809561271) 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, 196495 + ... + 219611.

Almost surely, 2^4809561201 is an apocalyptic number.

4809561201 is the 69351-st square number.

4809561201 is the 34676-th centered octagonal number.

It is an amenable number.

4809561201 is a deficient number, since it is larger than the sum of its proper divisors (2137883290).

4809561201 is an frugal number, since it uses more digits than its factorization.

4809561201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46240 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 4809561201 is about 1687.9846195946.

Multiplying 4809561201 by its sum of digits (36), we get a square (173144203236 = 416106²).

The spelling of 4809561201 in words is "four billion, eight hundred nine million, five hundred sixty-one thousand, two hundred one".