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2505605629 is a prime number
BaseRepresentation
bin1001010101011000…
…1000000111111101
320110121201221202111
42111112020013331
520112413340004
61052343454021
7116043203452
oct22526100775
96417657674
102505605629
11107639265a
1259b157311
1330c142aa7
1419aaad829
15e9e86a04
hex955881fd

2505605629 has 2 divisors, whose sum is σ = 2505605630. Its totient is φ = 2505605628.

The previous prime is 2505605591. The next prime is 2505605651. The reversal of 2505605629 is 9265065052.

It is a happy number.

2505605629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2500200004 + 5405625 = 50002^2 + 2325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505605629 - 29 = 2505605117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505605591 and 2505605600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505605689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252802814 + 1252802815.

It is an arithmetic number, because the mean of its divisors is an integer number (1252802815).

Almost surely, 22505605629 is an apocalyptic number.

It is an amenable number.

2505605629 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505605629 is an equidigital number, since it uses as much as digits as its factorization.

2505605629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 2505605629 is about 50056.0249021034. The cubic root of 2505605629 is about 1358.2224522669. Note that the first 3 decimals are identical.

The spelling of 2505605629 in words is "two billion, five hundred five million, six hundred five thousand, six hundred twenty-nine".