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561006033201 = 32229727137137
BaseRepresentation
bin10000010100111101001…
…00001011100100110001
31222122001110211022002200
420022132210023210301
533142420021030301
61105420030133413
755350152413425
oct10123644134461
91878043738080
10561006033201
111a6a1530a159
1290887951269
1340b97148283
141d21d554b85
15e8d6859c86
hex829e90b931

561006033201 has 12 divisors (see below), whose sum is σ = 810694860612. Its totient is φ = 373841185536.

The previous prime is 561006033199. The next prime is 561006033209. The reversal of 561006033201 is 102330600165.

561006033201 is a `hidden beast` number, since 56 + 1 + 0 + 0 + 603 + 3 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394767173025 + 166238860176 = 628305^2 + 407724^2 .

It is not a de Polignac number, because 561006033201 - 21 = 561006033199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (561006033209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13547896 + ... + 13589241.

It is an arithmetic number, because the mean of its divisors is an integer number (67557905051).

Almost surely, 2561006033201 is an apocalyptic number.

It is an amenable number.

561006033201 is a deficient number, since it is larger than the sum of its proper divisors (249688827411).

561006033201 is a wasteful number, since it uses less digits than its factorization.

561006033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27139440 (or 27139437 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 561006033201 its reverse (102330600165), we get a palindrome (663336633366).

The spelling of 561006033201 in words is "five hundred sixty-one billion, six million, thirty-three thousand, two hundred one".

Divisors: 1 3 9 2297 6891 20673 27137137 81411411 244234233 62334003689 187002011067 561006033201