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825608288261 is a prime number
BaseRepresentation
bin11000000001110100001…
…01101011100000000101
32220221001001122120102102
430000322011223200011
5102011321210211021
61431140150521445
7113435225442401
oct14007205534005
92827031576372
10825608288261
1129915839a799
12114012666285
135cb15521173
142bd61412101
15167215bd00b
hexc03a16b805

825608288261 has 2 divisors, whose sum is σ = 825608288262. Its totient is φ = 825608288260.

The previous prime is 825608288189. The next prime is 825608288291. The reversal of 825608288261 is 162882806528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 557066684161 + 268541604100 = 746369^2 + 518210^2 .

It is a cyclic number.

It is not a de Polignac number, because 825608288261 - 214 = 825608271877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 825608288197 and 825608288206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825608288291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412804144130 + 412804144131.

It is an arithmetic number, because the mean of its divisors is an integer number (412804144131).

Almost surely, 2825608288261 is an apocalyptic number.

It is an amenable number.

825608288261 is a deficient number, since it is larger than the sum of its proper divisors (1).

825608288261 is an equidigital number, since it uses as much as digits as its factorization.

825608288261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5898240, while the sum is 56.

The spelling of 825608288261 in words is "eight hundred twenty-five billion, six hundred eight million, two hundred eighty-eight thousand, two hundred sixty-one".