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1248145589 is a prime number
BaseRepresentation
bin100101001100101…
…0011000010110101
310012222121100212102
41022121103002311
510024011124324
6323504031445
742634030265
oct11231230265
93188540772
101248145589
11590600289
122aa002585
1316b7807b2
14bbaa37a5
157489adae
hex4a6530b5

1248145589 has 2 divisors, whose sum is σ = 1248145590. Its totient is φ = 1248145588.

The previous prime is 1248145553. The next prime is 1248145597. The reversal of 1248145589 is 9855418421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1114558225 + 133587364 = 33385^2 + 11558^2 .

It is a cyclic number.

It is not a de Polignac number, because 1248145589 - 212 = 1248141493 is a prime.

It is a super-3 number, since 3×12481455893 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1248145289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 624072794 + 624072795.

It is an arithmetic number, because the mean of its divisors is an integer number (624072795).

Almost surely, 21248145589 is an apocalyptic number.

It is an amenable number.

1248145589 is a deficient number, since it is larger than the sum of its proper divisors (1).

1248145589 is an equidigital number, since it uses as much as digits as its factorization.

1248145589 is an evil number, because the sum of its binary digits is even.

The product of its digits is 460800, while the sum is 47.

The square root of 1248145589 is about 35329.1039937330. The cubic root of 1248145589 is about 1076.6843870578.

The spelling of 1248145589 in words is "one billion, two hundred forty-eight million, one hundred forty-five thousand, five hundred eighty-nine".