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825233389 is a prime number
BaseRepresentation
bin110001001100000…
…000111111101101
32010111211012101121
4301030000333231
53142224432024
6213515340541
726310240151
oct6114007755
92114735347
10825233389
11393906072
121b0451751
13101c793a6
147b857061
154c6ad8e4
hex31300fed

825233389 has 2 divisors, whose sum is σ = 825233390. Its totient is φ = 825233388.

The previous prime is 825233333. The next prime is 825233411. The reversal of 825233389 is 983332528.

825233389 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., 607228164 + 218005225 = 24642^2 + 14765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-825233389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825203389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412616694 + 412616695.

It is an arithmetic number, because the mean of its divisors is an integer number (412616695).

Almost surely, 2825233389 is an apocalyptic number.

It is an amenable number.

825233389 is a deficient number, since it is larger than the sum of its proper divisors (1).

825233389 is an equidigital number, since it uses as much as digits as its factorization.

825233389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 43.

The square root of 825233389 is about 28726.8757263995. The cubic root of 825233389 is about 937.9771609256.

The spelling of 825233389 in words is "eight hundred twenty-five million, two hundred thirty-three thousand, three hundred eighty-nine".