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825187849 is a prime number
BaseRepresentation
bin110001001011110…
…101111000001001
32010111201212220221
4301023311320021
53142222002344
6213514350041
726306660323
oct6113657011
92114655827
10825187849
11393884932
121b042b321
13101c61745
147b844613
154c6a0184
hex312f5e09

825187849 has 2 divisors, whose sum is σ = 825187850. Its totient is φ = 825187848.

The previous prime is 825187799. The next prime is 825187901. The reversal of 825187849 is 948781528.

It is a happy number.

825187849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (825187901) can be obtained adding 825187849 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 686702025 + 138485824 = 26205^2 + 11768^2 .

It is a cyclic number.

It is not a de Polignac number, because 825187849 - 213 = 825179657 is a prime.

It is a super-2 number, since 2×8251878492 = 1361869972274493602, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825187796 and 825187805.

It is not a weakly prime, because it can be changed into another prime (825187049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412593924 + 412593925.

It is an arithmetic number, because the mean of its divisors is an integer number (412593925).

Almost surely, 2825187849 is an apocalyptic number.

It is an amenable number.

825187849 is a deficient number, since it is larger than the sum of its proper divisors (1).

825187849 is an equidigital number, since it uses as much as digits as its factorization.

825187849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1290240, while the sum is 52.

The square root of 825187849 is about 28726.0830779276. The cubic root of 825187849 is about 937.9599067095.

It can be divided in two parts, 8251 and 87849, that added together give a square (96100 = 3102).

The spelling of 825187849 in words is "eight hundred twenty-five million, one hundred eighty-seven thousand, eight hundred forty-nine".